Brain fart! Can someone please help me!?

Question

The difference of two positive numbers is 91. The larger number (minuend) is 5 less than 5 times the smaller number (subtrahend). What are the two numbers? Define variables, set up equation(s) and solve.

Answer 1

Let x be the larger number, and y the smaller number.

x - y = 91
x = 5y -5

Sub the second equation into the first:

(5y - 5) - y = 91
4y - 5 = 91
4y = 96
y = (96/4) = 24

Since x - y = 91,
x - (24) = 91
x = 91 + 24 = 115

Hope that helps ;)

Answer 2

x-y=91
x =5y-5 by substitution in the first
4y= 96 and y =24 x= 115