Question

A positive number is 5 times another mamber. 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:

Linear Equations in One Variable

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? Thus, the required numbers are 7 and 35.

Answer 2

Correct 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?

Given :-

• A positive number is 5 times another number.

Condition :-

• If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number.

To Find :-

• What are the numbers?

Solution :-

~Here, we can assume the positive number and then the other no. according to the question. By following the condition we can form an equation and by solving it we can get the original numbers.  

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• Let the first number be ‘x’  

• Then the second number will be ‘5x’

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According to the question :-  

$\sf \implies 2( x + 21 ) = 5x + 21$  

$\sf \implies 2x + 42 = 5x + 21$

$\sf \implies 5x-2x = 42-21$  

$\sf \implies 3x = 21$

$\sf \implies x = \dfrac{21}{3}$  

$\boxed{\bf{ \bigstar \;\; x = 7 }}$

$\sf \leadsto x = 7$ 

$\sf \leadsto 5x = 35$

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Hence,  

• The original numbers are 7 and 35  

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