The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are?

35 years, 15 years
38 years, 12 years
40 years, 10 years
42 years, 8 years

Correct Answer: 40 years, 10 years

Explanation:

Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
⇒ x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.

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