Question

Aloysius was 3 times as old as his son 8 years ago. How old is his son now if

Answer 1

9514 1404 393

Answer:

  21

Step-by-step explanation:

8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.

Now, 8 years later, the son's age is 13 +8 = 21.

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Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.