A positive number in 5 times another number. If 21 is added t both the numbers , then one of the new numbers becomes twice the other new number. What are the numbers?

Given: A positive number in 5 times another number

To Do: Find the numbers if 21 is added to both the numbers

Solution:

Let another number by $y$

Given positive number = $5y$

Given $5y + 21 = 2(y+21)$

$ 5y + 21 = 2y + 42$

or$ 5y - 2y = 3y = 42 - 21 = 21 $

or $y =\frac{21}{3} = 7$

So the two numbers are 7 and 35 

If 21 is added to both   

$35 + 21 = 56$

=$ 2 (7 + 21) = 2 \times 28 = 56.$ Verified  

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Updated on: 10-Oct-2022

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