Question

Last year my age was a square number. Next year my age will be cube number. What is my age ?

Answer 1

Square of numbers : 1, 4, 9, 16, 25, 36, 49...
Cube of numbers : 1, 8, 27, 64, 125...
Age next year will be 2 years more than the last year.
$\therefore$ Next year's age - Last year's age = 2
i.e. 27 - 25 = 2
$\therefore$ Age last year $=25=5^2$
Age next year $=27=3^3$
$\therefore$ Present age is 26 years.