+0  
 
0
52
1
avatar

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

 Feb 20, 2021
 #1
avatar+939 
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.

 Feb 20, 2021

20 Online Users

avatar
avatar
avatar
avatar
avatar
avatar