Question

The sum of two numbers is 30
and their quotient is 2

What are the two numbers?

Answer 1

10 and 20.

Explanation:

x + y = 30

x/y = 2

x = 2y so substituting in the first equation:

2y + y = 30

y = 10

and x + y =30

so x + 10 = 30 giving x = 20.

Answer 2

The numbers are 20 and 10.

Explanation:

Let's say these teo numbers are x and y.

The sum of two numbers is 30

x + y = 30
Isolate y
y = 30 - x

Their quotient is 2
plug the newfound y value in the second equation.

x / y = 2

`(x)/(30-x) = 2`

multiply both sides by (30 - x) to get rid of the fraction.

x = 2(30 - x)

x = 60 - 2x

x + 2x = 60 + 2x

3x = 60

dividie both sides by 3

x = 20

find y

y = 30 - x

y = 30 - 20 = 10
y = 10

The numbers are 20 and 10.