Question

Separate 126 into two parts so that one part is 16 more than the other part. Find each part. show work

Answer 1

55 and 71

Explanation:

Let s represent the smaller part.

s +(s +16) = 126

2s = 110

s = 55

s+16 = 71

The two parts are 55 and 71.

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After you work a few of these, you recognize that the two numbers will be ...

`(126)/(2)\pm(16)/(2)\quad\text{half the sum plus or minus half the difference}`