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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=704x+10=704x=60x=153x=45

Vinay’s age is 15 years and his mother’s age is 45 years.


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