A mother is 25 years older than her daughter. Five years

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A mother is 25 years older than her daughter. Five years ago, the age of the mother was 6 times the age of the daughter. What is the present age of mother?

1. 25 years
2. 29 years
3. 32 years
4. 35 years
5. .

Correct Option: D

Let the present ages of mother and her daughter are ( x + 25 ) and x years respectively ;
then Five years ago, the age of the mother was 6 times the age of the daughter.
6( x - 5 ) = x + 25 - 5
⇒ 6x - 30 = x + 20
⇒ 5x = 50
∴ x = 10
Hence, the age of the mother = 10 + 25 = 35 years