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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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Rekha is 19 years old and Mrs. Goel is 46 years old

Rekha is 20 years old and Mrs. Goel is 47 years old

Rekha is 21 years old and Mrs. Goel is 48 years old

Rekha is 22 years old and Mrs. Goel is 49 years old

answer is A.

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Detailed Solution

Concept- We must first find a relationship between the ages of the mother and the daughter, and then use that relationship to calculate their current ages.
Consider Rekha's present age as

.
Mrs. Goel's present age

After 8 years,
Age of Rekha

Age of Mrs. Goel

We have

Therefore, Rekha's age

years
and Mrs. Goel

years.
Hence, the correct answer is option 1) Rekha is 19 years old and Mrs. Goel is 46 years old.

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