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Question

# Mrs. Jain is 27 years older than her daughter Nilu. After 8 years, she will be twice as old as Nilu. Find the present age of Nilu.

A
20 years
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B
45 years
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C
19 years
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D
46 years
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Solution

## The correct option is C 19 yearsLet the present age of Nilu be x years. Therefore, Present age of Nilu’s mother =(x+27) years So, after 8 years, Nilu’s age =(x+8) Mrs. Jain’s age =(x+27+8)=(x+35) years ⇒x+35=2(x+8) On expanding the brackets, we get, ⇒x+35=2x+16 On transposing x to RHS and 16 to LHS, we get, 35−16=2x−x x=19 So, Nilu’s present age =x=19 years Mrs. Jain’s present age =x+27=19+27=46 years

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