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Question

a positive number is 5 times another number . if 21 is added to both the numbers than 1 of the new number becomes twice the other new number . what are the the nubers?

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Solution

Let the first number = x
So, the second number = 5x
Now given, if 21 is added to both the number then one of the new number becomes twice the other new number
=> 5x + 21 = 2(x + 21)
=> 5x + 21 = 2x + 42
=> 5x + 21 - 2x = 42
=> 3x + 21 = 42
=> 3x = 42 - 21
=> 3x = 21
=> x= 21/3
=> x = 7
So, the first number = x = 7
and the second number = 5x = 5*7 = 35

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