Question

The difference of two numbers is 58. Their sum is 68. What are the two numbers?

Answer 1

Answer:

29 and 39

Step-by-step explanation:

Let the first number = x

Let the second number = y

 

 

Set up equations.

 

x + y = 68                 eq1

x - y = 10                  eq2

 

 

We have a system of equations. 

 

Subtract eq2 from eq1 to eliminate the x terms.

 

2y = 58

 

y = 29

 

 

Substitute this value of y into eq1 to solve x.

 

x = 68 - y

x = 68 - 29

x = 39

 

The two numbers are 29 and 39.