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Question

# One year ago, Promila was four times as old as her sister Sakshi. Six years hence, Promila's age will exceed her sister's age by 9 years. The ratio of the present ages of Promila and her sister is

A
9:2
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B
11:3
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C
12:5
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D
13:4
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Solution

## The correct option is D 13:4Let Sakshi's age 1 year ago be x years. Then, Promila's age 1 year ago =4x years. ∴ Present age of Sakshi =(x+1) years and present age of Promila =(4x+1) years According to question, (4x+1)+6=(x+1+6)+9 ⇒4x+7=x+16 ⇒3x=9 ⇒x=3 Ratio of present age of Promila and Sakshi =4x+1x+1=134=13:4

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