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The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother's age at that time. The present age of the mother is - Mathematics

MCQ

The sum of ages of a mother and daughter is 45 years. Five years ago, the product of their ages was four times the mother's age at that time. The present age of the mother is

Options

  • 38 years

  • 37 years

  • 36 years

  • 39 years

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Solution

36 years

Explanation:

Let daughter's age = x years

then, mother's age = (45 – x) years

According to question,

(x – 5) (45 – x – 5) = 4 (45 – x – 5)

x – 5 = 4

∴ x = 9

So, The present age of the mother = (45 – 9) = 36 years.

Concept: Average and Age
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