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We will call the two numbers X and Y.

1) X + Y = 102

2) X - Y = 42

3) Rearrange the second equation ---> X = Y + 42 and plug into the first.

4) (Y + 42 ) + Y = 102

5) 2Y + 42 = 102

6) 2Y = 60

7) Y = 30 *

8) Plug into the second equation ---> X - 30 = 42 (so X = 42+ 30)

9) X = 72 *

10) 72 is the answer.

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โˆ™ 2011-03-10 17:11:11
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Q: Two numbers have a sum of 102 Their difference is 42 What is the larger of the two numbers?
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