Question

A positive number is 5 times another number if 21 is added to both the numbers then one of the new number becomes twice the other number what are the numbers​

Answer 1

Answer:

35 and 7

Explanation:

Let the two numbers be x and y

given one number is 5 times the another number

⇒ x = 5y ___________(1)

if 21 is added on both numbers one number is twice the other

⇒x + 21 = 2( y + 21)

⇒ 5y + 21 = 2y + 42      [∵ x = 5y]

⇒ 3y = 21

∴ y = 7

from (1)

⇒ x = 5y = 5(7) = 35

∴ x = 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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