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Question

# Eight years ago, Raghav was four times as old as his brother Pankaj. Four years hence, Raghav's age will exceed his brother's age by 6 years. The ratio of the present ages of Raghav and his brother is

A
8:5
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B
10:9
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C
7:5
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D
12:5
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Solution

## The correct option is A 8:5Let Pankaj's age 8 years ago be x years. Then, Raghav's age 8 years ago =4x years. ∴ Present age of Pankaj =(x+8) years and present age of Raghav =(4x+8) years According to question, (4x+8)+4=(x+8+4)+6 ⇒4x=x+6 ⇒3x=6 ⇒x=2 Ratio of present age of Raghav and Pankaj =4x+8x+8=1610=8:5

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