Multiple choice

The ratio of the present ages of mother and son is $ 12: 5$. The mother's age at the time of the birth of the son was $21$ years. Find their present ages.

  1. mother age $=$ $36$ years, son age $=$ $15$ years
  2. mother age $=$ $56$ years, son age $=$ $5$ years
  3. mother age $=$ $46$ years, son age $=$ $25$ years
  4. mother age $=$ $47$ years, son age $=$ $26$ years
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A Correct answer
Explanation

Let mother = 12x, son = 5x. Mother's age at son's birth = 12x - 5x = 7x. Given 7x = 21, so x = 3. Mother = 12*3 = 36, son = 5*3 = 15.

AI explanation

Let the present ages of the mother and son be 12x and 5x respectively. The mother's age at the time of the son's birth was 21 years, which means their present age difference is also 21, giving the equation 12x minus 5x equals 21. Solving gives 7x equals 21, so x equals 3. The present age of the mother is 12 times 3, which is 36 years, and the present age of the son is 5 times 3, which is 15 years.

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