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Question

Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.

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Solution

Let Rekha's present age be x

Mrs. Goel's present age =x+27

After 8 years,

Age of Rekha=x+8

Age of Mrs. Goel =x+27+8

According to the question,

2(x+8)=x+27+8

2x+16=x+35

x=19

Therefore, Rekha's age=19 years

and Mrs. Goel=46 years.

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