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
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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.
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