Multiple choice

The present age ratio of a man and his wife is 4 : 3 respectively. After 4 years, this ratio will be 9 : 7. Find the sum of the present ages of the man and his wife.

  1. 58 Years

  2. 52 Years

  3. 62 Years

  4. 56 Years

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D Correct answer
Explanation

Let ages be 4x and 3x. After 4 years, (4x + 4) / (3x + 4) = 9 / 7. 28x + 28 = 27x + 36. x = 8. Present ages are 32 and 24. Sum = 56.

AI explanation

Let the present ages of the man and his wife be 4x and 3x respectively. After 4 years, the ratio of their ages will be (4x + 4) / (3x + 4) = 9 / 7. Solving this equation yields 28x + 28 = 27x + 36, which means x equals 8. The sum of their present ages is 4x + 3x = 7x, which calculates to 7 multiplied by 8, resulting in 56 years.