Question

2. 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?​

Answer 1

Answer:

Step-by-step explanation:

let positive no. be 'x'  

1st no. x

2nd no.5x

after adding 21 to both

2(x+21)=5x+21

2x+42=5x+21

42-21=5x-2x

21=3x

x=21/3

x=7

1st no. =7

and second no. is 5*7=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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