Sarthaks Test
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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?

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Let the numbers be x and 5x. According to the question,

21 + 5x = 2(x + 21)

21 + 5x = 2x + 42

Transposing 2x to L.H.S and 21 to R.H.S, we obtain

5x -2x = 42 - 21

3x = 21

Dividing both sides by 3, we obtain

x = 7

5x = 5 x 7 = 35

Hence, the numbers are 7 and 35 respectively.

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