MATH SOLVE

4 months ago

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.

.. 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.