Frank is three times as old as his son was when Frank was twice as old as his son will be two years from now -- how old are they
Here are five different solutions:
Solution #1:
Frank is 39. His son is 16.
His son will be 18 in two years.
3 years ago, Frank was 36, which was twice 18.
3 years ago his son was 13, and Frank is now 3 times 13.
Solution #2:
Frank is 48. His son is 20.
His son will be 22 in two years.
4 years ago, Frank was 44, which was twice 22.
4 years ago his son was 16, and Frank is now 3 times 16.
Solution #3:
Frank is 57. His son is 24.
His son will be 26 in two years.
5 years ago, Frank was 52, which was twice 26.
5 years ago his son was 19, and Frank is now 3 times 19.
Solution #4:
Frank is 66. His son is 28.
His son will be 30 in two years.
6 years ago, Frank was 60, which was twice 30.
6 years ago his son was 22, and Frank is now 3 times 22.
Solution #5:
Frank is 75. His son is 32.
His son will be 34 in two years.
7 years ago, Frank was 68, which was twice 34.
7 years ago his son was 25, and Frank is now 3 times 25.
These are all solutions. Something is missing from the problem
if there was to be only one solution.
Edwin
