Question 110301
Question:

The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.


Answer:


Assume that one number is x


Then, as per the question, sum of two numbers = 20


If one number is 'x' ( assumption), then the second number is 20 - x


That is,


First number = x


Second number = 20-x


Also it is given that, Twice one number is 4 more than four times the other. Find the numbers.


Twice the first  number = 2*x


Four times the second number = 4*(20-x) = 80 - 4x 



Twice one number is 4 more than four times the other, means...

2x = 80 - 4x + 4

==> 2x = 80 + 4 - 4x


==> 2x = 84 - 4x


Add 4x on both sides...


==> 2x + 4x = 84 - 4x + 4x


==> 6x = 84



Dive both sides by 6


==> {{{ 6x/6 = 84/6}}}



==> {{{ x = 14}}}


That is first number = 14


So the second number is 20 - 14 = 6


So the numbers are 14 and 6



Hope you found the explanation useful.'


Regards.


Praseena.