John's age is 125% of what it was 10 years ago, but 83 1/3 % of what it will be after 10 years. What is the present age of John?

45 years

50 years

55 years

60 years

Let the present age be x years. Then, 125% of (x - 10) = x and, 83 1/3 % of (x + 10) = x 125% of (x - 10) = 83 1/3 % of (x + 10) or, 5/4 * (x - 10) = 5/6 * (x + 10) or, 5/4x - 5/6 x = 50/6 + 50/4 or, 5x/12 = 250/12 or, x = 50 years.

Back To Top