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:

`(2x)/(2) =(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! ☺

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