Math, asked by rppk, 9 months ago

the ages of a and b are in the ratio of 5:2 respectively. after 7 years the ratio of their ages will be 4:3 what is the age of A​

Answers

Answered by techayush
22

Answer:

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Answered by principalajdc
1

Answer:

let age of a be x and age of b be y

1st case. x/y=5/2

2x=5y

2x-5y =0 ......(1)

2nd case. (x+7)/(y+7)=4/3

3x+21 =4y+28

3x-4y= 28-21

3x-4y=7 ......(2)

multiplying eq. (1) by 3 and eq. (2) by 2

3(2x-5y=0)

》6x-15y=0 ...(3)

2(3x-4y=7)

》6x-8y=14 ...(4)

eliminating eq. (4) from eq.(3)

6x-15y=0

6x-8y=14

- + -

-7y=-14

y=14/7

y=2

2x=5y

2x=5(2)

x=5

age of x(a)=5 years

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