Question

The sum of two numbers is 153. if four times the smaller number is subtracted from the larger​ number, the result is 18. find the two numbers.

Answer 1

x = larger number and y = smaller number

x + y = 153....x = 153 - y
x - 4y = 18

153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number

x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number