Question

The sum of two numbers is 23. The first number is 3/20 of the second number. What are the numbers?

Answer 1

Here's what i know:

x + y = 23

3y / 20 =x

Here we can use substitution to help find our answer:

y + 3y/20 = 23

20y/20 + 3y/20 = 23

23y/20 = 23

23y = 23 * 20

y = 23 * 20 / 23

y = 20

x + 20 = 23

x = 3

Answer 2

3 and 20

Explanation:

We have 2 numbers, we will call them a and b.

We have: a =
`(3)/(20)`b and a + b = 23

=>
`(3)/(20)`b + b = 23

=>
`(23b)/(20)` = 23

=> 23b = 460

=> b = 20

=> a = 3