Question

Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.

Given that my age is an integer number of years, what is the smallest my age could be?

Answer 1

Current age = x
4/5x>3/4(x+1)
4/5x>3/4x+3/4
16/20x>15/20x+3/4
1/20x>3/4
Multiple each side by 20
x>3/4*20
x>60/4
x>15
The smallest age you could be is 16

Hope this helps :)