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If 62.5 percent of a number is subtracted form itself than result becomes 6321 find original number

User Bao Huynh
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1 Answer

4 votes

Answer:

16856

Explanation:

We can word this problem as
x - (0.625x) = 6321, where x = the number that 62.5% is being subtracted from. Our goal is to find x.

Since (100x - 62.5x) = 6321 * 100, you can work out 6321 * 100 for 632100.

This also means that 37.5x = 632100, because (100x - 62.5x) = 37.5x.

So presented with
37.5x = 632100, do inverse operations to solve for x.

That should look like
(632100)/(37.5) = 16856.

This means that x = 16856.

(Note: You can check this by carrying out
16856 - (0.625*16856) = 6231 and seeing if it stays true.)

User Stephen DeSalvo
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