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  • 21-11-2021
  • Mathematics
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Find two positive numbers whose difference is 19 and whose product is 722

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  • 21-11-2021

Answer: 38 and 19

Step-by-step explanation:

This question is a trial and error question.

We know that the last two numbers must multiply into 2.

The numbers who fit that, are (6,2), (2,1), (8, 4), (7,3), (9, 8)

Of those, the only two who can subtract into 9 would be 1 minus 2 and 8 minus 9.

So we'll start off with 41 and 22 because that subtracts into 19.

41 - 22 = 19

41 * 22 = 902

Thats too high, so we'll go down now.

38 - 19 = 19

38 * 19 = 722

So theres your answer, 38 and 19

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