Question

The ages of A and B are in the ratio 5:3 after 6 years their ages will be in the ratio 7:5 find the sum of their present ages

Answer 1

Answer:

Step-by-step explanation:

let age of A and B be x and y years respectively

ATQ

x/y=5/3

after 6 years

A is x+6 and B is y+6 years old

ATQ

x+6/y+6=7/5

5x + 30 = 7y + 42

5x - 7y = 12

5(5y/3) - 7y =12

25y/3 - 7y =12

4y/3 = 12

y = 9

x/9=5/3

x = 15

x + y = 24