Multiple choice

Anushika's age is four times her son's present age and four seventh of her father's age. The average of the present ages of all of them is 32 years. What is the difference between the Anushika's son's present age and Anushika's father's present age?

  1. 44 years

  2. 48 years

  3. 46 years

  4. 50 years

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

Let son's age = x. Then Anushika = 4x. Father = (7/4) x 4x = 7x. Average = (x + 4x + 7x)/3 = 12x/3 = 4x = 32, so x = 8. Son = 8, Anushika = 32, Father = 56. Wait - let me recalculate. If average is 32, then sum = 96. x + 4x + 7x = 96, so 12x = 96, x = 8. Son = 8, Anushika = 32, Father = 56. Difference = 56 - 8 = 48 years. But let me verify: 4x = 32 (Anushika), 7x = 56 (Father). The phrase 'four seventh of her father's age' means Anushika = (4/7) x Father's age, so Father = (7/4) x Anushika = 7x. Sum = 96 gives x = 8, Father = 56, Son = 8, difference = 48. Option B is correct.