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Question

Present ages of Amit and his father are in the ratio 2:5 respectively. Four years hence the ratio of their ages becomes 5:11 respectively. What was the father's age five years ago?

A
40 years
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B
45 years
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C
30 years
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D
35 years
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Solution

The correct option is D 35 years
Let the present ages of Amit and his father be 2x and 5x years respectively
Four years hence
Amit's Age = ( 2x+ 4) years
Father's age = (5x + 4) years
Given 2x+45x+4=511(2x+4)=5(5x+4)

22x+44=25x+203x=24x=8

Father's present age = ( 5 x 8) years = 40 years Father's age 5 years ago = ( 40 - 5)= 35 years

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