Question

Math

The sum of two numbers is 36. Their difference is 4. Determine the two unknown numbers.
(NOTE: Show answer in the following format # and #. If not entered in this format, will be scor
incorrect.)
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Answer 1

One number is 16 and the other number is 20

Explanation:

Let x = one number

Let y = the other number

x + y = 36

x - y = 4 Or x = 4 + y

Substitue in 4 + y for x in the first equaion

4 + y + y = 36 Combine like terms

4 + 2y = 36 Subtract 4 from both sides

2y = 32 Divide both sides by 2

y = 16

Substitute 16 for y in either of the orginal equaions

x + y = 36

x + 16 = 36 Subtract 16 from both sides

x = 20