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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?

Q.2 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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Let the No.1 = x

Then the second no. No.2 = 5x.

Now the question states that if we add 21 to both numbers one number becomes twice of the other.

i.e.,   2(x + 21) = 5x + 21 

or       2x + 42 = 5x + 21

Transposing 2x to the RHS and 21 to the LHS:

            21 = 5x - 2x = 3x

or         x = 7

Thus the two numbers are 7 and 35 .    (Since No.2 = 5x) 

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