Multiple choice

The ratio of the present age's of a man and wife is 5 : 3. Twelve years hence, it will be 3 : 2. Find the present age of the man is?

  1. 48

  2. 36

  3. 60

  4. 24

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the man's age be 5x and wife's be 3x. Twelve years hence, (5x+12)/(3x+12) = 3/2. Cross-multiplying gives 10x + 24 = 9x + 36, so x = 12. The man's present age is 5 * 12 = 60.

AI explanation

Let the man's present age be 5x and his wife's be 3x. Twelve years hence, the ratio 5x plus 12 to 3x plus 12 equals 3 to 2. Cross multiplying gives 10x plus 24 equals 9x plus 36, so x equals 12. The man's present age is 5 times 12, which is 60 years.