The sum of the ages of John and Julie is 40. Five years ago, John wa twice as old as Julie. How old John when Julie was born?
1. The sum of the ages of John and Julie is 40. Five years ago, John wa twice as old as Julie. How old John when Julie was born?
Penjelasan dengan langkah-langkah:
Jo + Ju = 40... (1)
Jo - 5 = (Ju-5) * 2
Jo - 2Ju = -5....(2)
eliminasi (2)-(1)
-3Ju = -45
Ju = 15 tahun
Jo = 40-15 = 25 tahun
Joh when Julie was born
= 25-15=10yrs old
John= A
Julie= B
persamaan pertama
A+B = 40
persamaan kedua
(A-5) = 2*(B-5)
A-5 = 2B - 10
A - 2B = -5
persamaan 1 dan 2
A + B = 40
A - 2B = -5
___________ -
3B = 45
B = 15 thn ---» sekarang
umur A (sekarang)
40-15 = 25 tahun
jika sekarang B berumur 15 thn maka B lahir 15 tahun yang lalu
umur John 15 thn yg lalu yaitu 25 - 15 = 10 tahun
John was 10 years old when Julie was born
2. The ages of three siblings,Leon,Kelley and Jack are in the ratio 3:5:6. The sum of their ages is 42 years.How old is Kelly?
ratio = 3:5:6
Leon = 3
Kelley = 5
Jack = 6
sum ratio = 3+5+6 = 14
sum age = 42
leon = 3/14 x 42 = 9
Kelley = 5/14 x 42 =15
Jack = 6/14 x 42 = 18
so.. kelley age is 15 year
thanks
3. Simon is 6 years older than John and Matthew is 3 years younger than John. If the sum of their ages is 66. Form an equation in x and find Simon's age and Matthew's age.
Jawab:
Penjelasan dengan langkah-langkah:
simon = 6 + john
mathew = john -3
john + mathew + simon = 66
subtitute:
john + (john -3) + (6+john) = 66
3john = 63
john = 21
simon = 6 + john = 6+21=27
mathew = john - 3 = 21-3=18
Jawaban:
S = J + 6
M = J - 3
S + M + J = 66
S? M?
S + M + J = 66
(J + 6) + (J - 3) + J = 66
3J = 63
J = 21
S = J + 6
= 21 + 6
= 27
M = J - 3
= 21 - 3
= 18
4. The oak tree is 11 times as old as the garden. The sum of their ages is 108 years. How old is each the garden and tree?
Jawaban:
TG = 9
TOG = 99
Penjelasan dengan langkah-langkah:
TOT = 11 TG
TOT + TG = 108
11TG + TG = 108
12 TG = 108
TG = 108/12
TG = 9
TOT = 11.9
TOT = 99
5. The ages of three sibling, Leon, Kelly and Jack are on the radio 3:5:6. The sum of their age is 42 years. How old is Kelly
Kelly : 5/14×42=15
14 came from 3 + 5 + 6
6. The sum of two numbers is 20 and the sum of their squares is 272. Find the firstnumber
Jawab:
4 or 16
Penjelasan dengan langkah-langkah:
Let the numbers be x and y
x + y = 20
sum of their squares is 272 so x^2 + y^2 = 272
Find the first number,
We know that x^2 + y^2 = (x + y)^2 - 2xy
so 272 = 20^2 - 2xy
272 = 400 - 2xy
2xy = 128
xy = 64
We know that x + y = 20 and xy = 64, so we can make quadratic equation,
let a1 = x and a2 = y
a^2 - 20a + 64 = 0
(a - 16)(a - 4) = 0
a = 16 or a = 4
So the first number can be 4 or 16
If the first number less than the second, the answer is 4
Semoga terbantu :)
IG: @djie.jemmy
Jawab:
4 or 16Penjelasan dengan langkah-langkah:
If the first number is [tex]x[/tex] and the second one is [tex]y[/tex],
we can write:
[tex]x + y = 20[/tex]
[tex]x^{2} + y^{2} = 272[/tex]
Then
[tex]x = 20 - y[/tex]
Substitute [tex]x = 20 - y[/tex] to [tex]x^{2} + y^{2} = 272[/tex]
[tex](20 - y)^{2} + y^{2} = 272[/tex]
[tex]400 - 40y + y^{2} + y^{2} = 272[/tex]
[tex]2y^{2} - 20y + 128 = 0[/tex]
Factorize the equation and we get:
[tex](y-16)(y-4) = 0[/tex]
[tex]y = 16[/tex] ∨[tex]y = 4[/tex]
If we substitute [tex]y = 16[/tex] to [tex]x = 20 - y[/tex], we get [tex]x = 4[/tex]
So, we can conclude that both numbers are 4 and 16.
7. if twice the age of son is added to age of father, the sum is 56.but if wice the age of the father is added to the age of son, the sum is 82.fund the ages of father and son.....? tolong di jawab ya
Jawab:
son age (x) =10
father age (y) = 36
Penjelasan dengan langkah-langkah:
Solve the following system:
y + 2 x = 56
2 y + x = 82
In the first equation, look to solve for y:
y + 2 x = 56
2 y + x = 82
Subtract 2 x from both sides:
y = -2 x + 56
2 y + x = 82
Substitute y = -2 x + 56 into the second equation:
y = -2 x + 56
2 (-2 x + 56) + x = 82
2 (-2 x + 56) + x = x + (-4 x + 112) = -3 x + 112:
y = -2 x + 56
(-3 x + 112) = 82
In the second equation, look to solve for x:
y = -2 x + 56
-3 x + 112 = 82
Subtract 112 from both sides:
y = -2 x + 56
-3 x = -30
Divide both sides by -3:
y = -2 x + 56
x = 10
Substitute x = 10 into the first equation:
y = 36
x = 10
8. Amirah is 4 years older than priya and shirley is 2 years younger than priya. If the sum of their ages is 47, find their respective ages.
Jawaban:
amirah = a
priya = b
shirley = c
a = b + 4
c = b - 2
a + b + c = 47
(b + 4) + b + (b - 2) = 47
3b + 2 = 47
3b = 47 - 2
3b = 45
b = 45/3
b = 15
a = b + 4 = 15 + 4 = 19
c = b - 2 = 15 - 2 = 13
amiras is 19 years old
priya is 15 years old
shirley is 13 years olg
9. Rui Feng is twice as old as Raj and Kahirul is 5 years younger than Raj. If the sum of their ages is 59 years, find their respective ages!
Jawaban:
Rui Feng: 32 th
Raj: 16 th
Kahirul: 11 th
Penjelasan dengan langkah-langkah:
semoga membantu
10. A sum of money is divided among John, Joshua and Raymond in the ratio 3:7:11. IfRaymond has $168 more than John, find the sum of money.
Jawaban:
$441
Penjelasan dengan langkah-langkah:
John : Joshua : Raymond = 3 : 7 : 11
Raymond has $168 + John.,
Sum of money?
If m = money,
then John : Joshua : Raymond, 3m : 7m : 11m
Raymond = 168 + John
11m = 168 + 3m
8m = 168
m = 21
Sum of money:
= 3m + 7m + 11m
= 3(21) + 7(21) + 11(21)
= 63 + 147 + 231
= $441
11. I. the sum of ages of pamela and randy is 90 years. ii. sally is 10 years younger than randy. the average age of pamela, quentin, randy, and sally is 50 years. how old is randy?
The average age of pamela, quentin, randy, and sally is 50 years. Randy has 20 old years. Because the sum makes the result is 20 old years.
Pembahasan
Dalam mencari umur Randy kita dapat menggunakan cara matematika yaitu dengan cara:
pamela+randy=90sally=randy-10sally=90-pamela-10sally+randy+pamela=10090-pamela-10+randy+pamela=100 Maka dari langkah 5 menghasilkan hasil Randy =20Aljabar adalah bidang matematika yang mempelajari struktur, hubungan, dan himpunan dengan menggunakan simbol, yang biasanya berupa huruf, sebagai alat penyederhanaan dan untuk membantu menyelesaikan masalah aritmatika. Aljabar pada dasarnya adalah proses dasar dari masalah matematika. Semua masalah matematika dapat diselesaikan dalam aljabar. Contoh aljabar: Penjumlahan, pengurangan, pembagian, dan perkalian variabel.
Pelajari lebih lanjutPelajari lebih lanjut materi tentang aljabar: https://brainly.co.id/tugas/984983
#BelajarBersamaBrainly #SPJ1
12. the ages of the three children in the Jones family add up to 14. if their ages are multiplied together, the result is 70. what is the ages of the eldest child?
Jawab:
7 years old
Penjelasan dengan langkah-langkah:
Umur Anak pertama = 2
Umur anak kedua = 5
Umur anak ketiga = 7
Caranya di cocokan saja
13. The ages of three siblings, Leon, Kelly and Jack are in the ratio 2 : 3 : 7. The sum of their ages is 72 years. How old is Kelly?
Kelly
3/12 × 72
= 1/4 × 72
= 18 years old
~hope that helps ~
14. the sum of 3 even number is 90 the sum of the biggest and the smallest number is
Jawaban:
jumlah dari 3 bilangan genap adalah 90 hasil penjumlahan dari bilangan terbesar dan terkecil
15. the sum of 3³ and 9² is
Kelas 6 Matematika
Bab Pangkat Tiga
3³ + 9²
= 27 + 81
= 108
= 4 x 27
= 2² x 3³di artikan jika dijumlahakn 3² dan 9² brp
3³= 27 , 9²= 81
81 ditambah 27 = 108
c. jawabannya . krn 2² =4 dan 3³ =27 = 4 ×27 =108 . sesuai dengan jumlah soal nya
16. the sum of 461 and 129 is
461+129= 590
moga bantu
17. if the sum of the 2nd and 8th terms is 40 and the sum of the 3rd and 6th terms is 36, what is 5th terms?
Jawaban:
maaf kuarang jelas coba transelete ke indo
18. Ahmad is twice as old as Bobby, John is 7 years younger than Ahmad. If the sum of their ages is 38,how old are the three boys? pakai cara y
Jawab:
ahmad = 18 y.o.
john = 11 y.o.
bobby = 9 y.o.
Penjelasan dengan langkah-langkah:
Ahmad is 2x old as Bobby
John is 7 years younger than Ahmad
Thus:
a = 2b, j = a - 7, b = a/2,
so:
a/2 + a + a - 7 = 38
5a/2 = 45
5a = 90
a = 90/5 = 18
j = 18 - 7 = 11
b = 18/2 = 9
19. anna is 6 years older than cheryn, and mansion is 8 years older than anna. if the sum of their ages 44, find the respective ages
Jawab:
Penjelasan dengan langkah-langkah:
anna = x
cheryn = y
mansion = z
x = y + 6 ---> y = x - 6
z = x + 8
x + y + z = 44
x + (x-6) + (x+8 ) = 44
3x + 2 = 44
3x = 44-2
3x = 42
x = 42/3
x = 14 Anna
y = x - 6 = 14 - 6 = 8 cheryn
z = x + 8 = 14 + 8 = 22 mansion
Cheryn = 8 tahun
Anna = 14 tahun
Mansion = 22 tahun
20. The sum of 438 and 241 Is
Jawaban:
438 + 241 = 679
Semoga membantu :)
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