Question

A positive number is 5 times another number. If 21 is added to both the number then one of the new no. Becomes twice the other new no. What are the numbers

Answer 1

Let the 2 numbers be x and 5x.

If 21 is added to both,the numbers become 21+x and 21 + 5x

So a/q

21+5x=2(21+x)

21+5x=42+2x

5x-2x=42-21

3x=21

x=21/3

x=7

Now,the numbers are x=7 and 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.