Multiple choice

The sum of the ages of a son and father is $56$ years. After four years, the age of the father will be three times that of the son. Their ages respectively are ?

  1. $12$ years, $44$ years
  2. $16$ years, $42$ years
  3. $16$ years, $48$ years
  4. $18$ years, $36$ years
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A Correct answer
Explanation

Let f and s be ages. f+s=56. (f+4) = 3(s+4). f+4 = 3s+12 -> f = 3s+8. Substitute: 3s+8+s=56 -> 4s=48 -> s=12. Then f=44.

AI explanation

Let the present ages of the son and father be S and F. The given equations are S + F = 56 and F + 4 = 3(S + 4). Expanding the second equation gives F = 3S + 8. Substituting this into the first equation gives S + 3S + 8 = 56, which simplifies to 4S = 48, meaning the son is 12. The father's age is therefore 56 - 12 = 44.

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