Question

The Sum of two number is 20 .One number is 4times the other .Find the number

Answer 1

let one number be x and another one is 4x
4x+x=20
5x=20
then x=4

Answer 2

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.'