A child said that his age in years was equal to the last two digits of his birthyear. The child's grandmother said the same thing.
If they both said it in 1932, how old are were they at the time?
Let the respective ages of of the child and his grandmother be M and N.
It would be evident that a solution to the problem is possible only when the Grandmother was born in the 19th Century and her grandson was born in the 20th century.
Accordingly, we must have:
1800 + 2N = 1932 = 1900 + 2M; giving:
(M.N) = (16, 66).
Thus, the respective ages of the child and his grandmother in 1932 were 16 years and 66 years.
Edited on May 7, 2007, 12:16 pm