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konstantin123 [22]
3 years ago
11

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

Mathematics
1 answer:
nordsb [41]3 years ago
4 0

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}

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