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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? - Mathematics

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.

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 (Latest))
Chapter 2: Linear Equations in One Variable
Exercise 2.4 | Q 2 | Page 31
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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? Concept: Some More Applications.
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