Q:

The sum of two numbers is 74.74.  If four timesfour times the smaller number is subtracted from the larger​ number, the result is 4.4.  Find the two numbersThe larger number is ____The smaller number is _____

Accepted Solution

A:
Let x represent the smaller number. Then the larger number is 4x+4, and their total is
.. x +(4x+4) = 74
.. 5x = 70 . . . . . . . subtract 4
.. x = 14 . . . . . . . . . divide by 5
.. 4x +4 = 4*14+4 = 60 . . . . . substitute into the expression for the larger number

The larger number is 60.
The smaller number is 14.