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?

Answers (1)

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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