Multiple choice

The ratio of the ages of the father and the son at present is 7:1. After 4 years, the ratio will become 4:1. What is the sum of the present ages of the father and the son

  1. 29 years

  2. 35 years

  3. 32 years

  4. 34 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let father's age be 7x and son's be x. After 4 years, (7x+4)/(x+4) = 4/1. Solving gives 7x+4 = 4x+16, so 3x = 12, x = 4. Present ages are 28 and 4, sum is 32.

AI explanation

Let the present ages of the father and the son be 7x and x years. After 4 years, the ratio of their ages will be 4:1, establishing the equation (7x + 4) / (x + 4) = 4 / 1. Cross-multiplying yields 7x + 4 = 4x + 16, which simplifies to 3x = 12, meaning x = 4. Therefore, the sum of their present ages is 7x + x = 8x, which is 8 times 4 or 32 years.

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