Question

The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.

Answer 1

Tanay's age = 24yrs

Vihaan's age = 21yrs

Explanation:

let the ages of tanay and vihaan be8x,7x

After 6yrs tanay's age=8x+6

vihaan's age=7x+6

a/q=8x+6/7x+6=10/9

=9(8x+6)=10(7x+6)

=72x+54x=70x+60

72x-70x=60-54

2x=6

x=3

tanay's age=8×3=24yrs

vihaan's age=7×3=21yrs

hope this helps you friend

Answer 2

24 and 21

Explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

`(8x+6)/(7x+6)` =
`(10)/(9)` ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21