Question

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

Answer 1

Answer:

   55 and 71

Step-by-step 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 ...

  $\dfrac{126}{2}\pm\dfrac{16}{2}\quad\text{half the sum plus or minus half the difference}$