#### 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?

#### Solution

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 × 7 = 35

Hence, the numbers are 7 and 35 respectively.

Is there an error in this question or solution?

Solution 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? Concept: Some More Applications.