Question

# The present age of Vinay’s mother is three times the present age of Vinay. After 5 years, sum of their ages will be 70 years. Find their present ages.

A

20 years, 60 years

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B

18 years, 54 years

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C

10 years, 30 years

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D

15 years, 45 years

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Solution

## The correct option is D 15 years, 45 years Let Vinay’s present age be xThen, his mother’s present age =3x After 5 years,Vinay’s age = x+5Vinay's mother’s age = 3x+5 Sum of Vinay and Vinay's Mother's age after 5 years = 70 ⇒x+5+3x+5=70⇒4x+10=70⇒4x=60⇒x=15⇒3x=45 ∴Vinay’s age is 15 years and his mother’s age is 45 years.

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