Question

The ages of Amit and Sumit are in the ratio 2:3. After 15 years, the ratio of their ages will be 3:4. Find their present ages.

Answer 1

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Answer 2

let the present age be 'x'

ratio of present ages of amit and sumit=2:3

amit 's present age=2x

sumit's present age=3x

AFTER 15 YEARS,

amit's age=2x+15

sumit's age=3x+15

ratio of their ages after 15 years=3:4=3/4

2x+15/3x+15=3/4

by cross-multiplying,the statement will be-

4(2x+15)=3(3x+15)

8x+60=9x+45

9x-8x=60-45

x=15

amit's present age= 2x = 2 X 15 = 30years

sumit's present age= 3x = 3 X 15 = 45 years