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?

Answer 1

Answer:Required numbers are 35 and 7

Step-by-step explanation:

Let the numbers be x and y.

By question,

x=5y....................(1)

Also,x+21=2(y+21).............(2)

Or,x+21=2y+42

Or,x-2y=21

Or,5y-2y=21. (Using 1)

Or, 3y =21

Therefore y=7

Now x=5y=5×7=35

Therefore required numbers are 35 and 7

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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