Question

Juan wants to find two numbers such that their sum is 33 and their difference is 13. The equations that will help him find the answer are _ and _. The two numbers are _ and _.

Answer 1

`2x - 13 = 33 \\ 2x = 33 + 13 \\ 2x = 46 \\ (2x)/(2) = (46)/(2) \\ x = 23`
33-23=10. 10+23=33. 23-10=13
the numbers are 23 and 10

Answer 2

The equations are a + b = 33 and a - b = 13

The numbers are 23 and 10

Explanation:

Let the numbers be a and b.

Their sum is 33 and their difference is 13

We have sum of a and b is 33 that is

a + b = 33

We have difference of a and b is 13 that is

a - b = 13

Adding both equations

a + b + a - b = 33 +13

2a = 46

a = 23

23 + b = 33

b = 10

The numbers are 23 and 10