Question

The ages of Leena and Heena are in the ratio 7: 5. Ten years hence, the ratio of their
ages will be 9:7. Find their present age

Answer 1

Answer:

Leena = 35 years , Heena = 25 years.

Step-by-step explanation:

let the present ages of Leena and Heena be 7x and 5x years respectively.

After 10 years :

Leena = 7x + 10 years

Heena = 5x + 10 years

therefore, the ratio of their ages after 10 years = 7x + 10 ÷ 5x + 10

this is given be 9:7

hence, 7x + 10 ÷ 5x + 10 = 9 ÷ 7

cross multiplication gives

7 ( 7x + 10 ) = 9 ( 5x + 10 )

49x + 70 = 45x + 90

49x - 45x = 90 - 70

4x = 20

x = 20 ÷ 4

x = 5

Present ages :-

Leena = 7x

= 7 (5)

= 35 years

Heena = 5x

= 5 (5)

= 25 years

I hope it will help you