One number is four less than a second number. Four times the first is 14 more than 5 times the second. Find the numbers.

Guest Feb 20, 2021

#1**0 **

Let the numbers be x and y.

one number is four less than a second number ==> x = y - 4 . (1)

4x the first is 14 more than 5x the second ==> 4x = 5y + 14 . (2)

We will use substitution. Plug equation (1) into (2):

4(y - 4) = 5y + 14

4y - 16 = 5y + 14

-y = 30

The numbers are **30** and **26.**

CubeyThePenguin Feb 20, 2021