Question

the age of A and B in ratio 7:5. Ten years hence, the ratio of their ages will be 9:7 find their present age

Answer 1

Here is your answer dear⬇️


▶️ Let A's age be 7x and B's age be 5x

▶️ After 10 years, ages will be 7x + 10 and 5x + 10


ATQ,

7x + 10 + 5x + 10 = 9x + 7x

12x + 20 = 16x

20 = 16x - 12x

20 = 4x

x = $\frac{20}{4}$

x = 5



▶️A's age = 7x = 7 × 5 = 35

▶️B's age = 5x = 5 × 5 = 25

Answer 2

present age of A and B are in the ratio

A : B = 7 : 5 = 7X : 5X

after 10 yers ratio will be

9 : 7 = 9X : 7X

ratio increase by

( 9X - 7X ) = 2X

and

( 7Y - 5X ) = 2X

2X = 2X = 10 yers

hence 10/2 = 5 yers = 1 ratio

present age ratio are

7 : 5 = 7X : 5X = ( 7 × 5 = 35 yers)

and

5 × 5 = 25 years

hence present age are

35 , 25 yers