Question

the sum of two numbers is 90. their difference is 28. what are the numbers?

Answer 1

Hey there! ☺

$Answer:\boxed{59\text{ and }31}$

$Explanation:$

The first number can be written as x. The two numbers have a difference of 28, so the other number can be written as x-28. The total sum of the two numbers is 90. This can be written as an equation:

$x+x-28=90$

Add 28 to both sides to leave the variable by itself:

$x+x-28+28=90+28\\x+x=118$

Add the two x's:

$x+x=118\\2x=118$

Divide both sides by 2:

$\frac{2x}{2} =\frac{118}{2} \\x=59$

The first number is 59. The other number can be found by subtracting 28 from 59, since the difference between the two numbers is 28.

$59-28=31$

To make sure the answer is correct, you can try adding the two numbers to check if they equal 90.

$59+31=90\ \checkmark$

The answer is 59 and 31.

Hope this helps! ☺

$\text{-TestedHyperr}$