Question

a positive number is 5 time another numbar if 21 is added to both the no then one of the new number become twice the other new number. what are the the number​

Answer 1

Answer:7and35

Step-by-step explanation:let the no be xthen the other no will be 5x

5x+21=2 (21+x)

5x+21=42+2x

5x-2x=42-21

3x=21

x=7

5x=

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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