Question

The ages of ashok and naresh are in the ratio 5:8 if ashok were 5 years older and naresh is 4 years younger the age of ashok would have been the same as the age of naresh. find their ages

Answer 1

ANSWER:

The age of Naresh is 24 and the age of Ashok is 15.

ASSUMPTION:

Let the age of Ashok be x.

Let the age of Naresh be y.

GIVEN:

x / y = 5 / 8

x + 5 = y - 4

TO FIND:

The ages of Naresh and Ashok.

EXPLANATION:

x + 5 = y - 4

x = y - 9

x / y = 5 / 8

x = 5y / 8

Equate both the x values

5y / 8 = y - 9

5y = 8y - 72

- 3 y = - 72

y = 24

Substitute y = 24 in x = 5y / 8

x = 5(24)/8

x = 5(3)

x = 15

Hence the age of Naresh is 24 and the age of Ashok is 15.

VERIFICATION:

x / y = 15 / 24 = 5/8

x + 5 = 15 + 5 = 20

y - 4 = 24 - 4 = 20

x + 5 = y - 4 = 20

HENCE VERIFIED.