Question

A positive number is 5 times the another number. If 21 is added to both the numbers, then one number becomes twice the other new number. What are the numbers

Answer 1

Answer: 7 and 35

Step-by-step explanation:

Since one number is 5 times the other, we can write the numbers as m and 5m

Then 5m+21=2(m+21)

5m+21=2m+42

3m=21

m=7

So the numbers are 7 and 35

Answer 2

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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 above number be 'x'

$\leadsto \tt{2 \times x + 21 = 5x + 21}$

$\leadsto \tt{2 x + 42 = 5x + 21}$

$\leadsto \tt{2 x - 5x = 21 - 42}$

$\leadsto \tt{- 3x = 21 }$

$\leadsto \tt{ 3x = 21 }$

$\leadsto \tt{ x = \frac{21}{3} }$

$\leadsto \tt{ x = 7}$

So the two numbers are 7 and 35.

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