Question 111168
lets call the smaller number x
smaller number = x
Given: the larger number is 9 more than four times the smaller 
Write this in terms of x 
larger number = 4x + 9
Given: if the larger number is increased by four times the smaller the result is 40
Write this as an equation and solve for x
larger number plus four times smaller equals forty
(4x+9) + 4x = 40
4x + 9 + 4x = 40
8x + 9 = 40
8x = 31
x = 3.875
So the smaller number is 3.875
use this to find the larger number
larger number = 4x + 9
larger number = 4(3.875) + 9
larger number = 15.5 + 9
larger number = 24.5