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Question

A positive number is 5 times another number if 21 is added to both the numbers then one of the new numbers becomes twice the other new number what are the numbers.

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Solution

Let us assume x be the no.
So another number will be 5x
If we add 21 in both of them, these number become (x+21) and (5x + 21)
Now it is given that in new number one number is twice the other nmber
Thus, 5x+21 = 2(x+21)
5x + 21 = 2x + 42
5x - 2x = 42-21
3x = 21
x = 7

Thus one number is 7 and other one is 35.

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