Question

The sum of A and B is 171 and their difference is 35. What are the numbers?

Answer 1

103 and 68

Explanation:

since the difference has to be 35 subtract 35 from 171 (equals 136) then divide it by 2, you get 68 which is your first number, then add 35 back and get 103 for the second number, I hope this helped

Answer 2

103 and 68

Explanation:

Given

A + B = 171

A - B = 35

Add the two expressions to eliminate B.

B + (-B) = B - B = 0

We have

2A = 206

Divide both sides by 2 to isolate A

2A/2 = 206/2

A = 103

Now substitute 103 for A in either expression to get B

Using the first expression , we have

A + B = 171

103 + B = 171

Subtract 103 from both sides

103 - 103 + B = 171 - 103

B = 68

The numbers are 103 and 68

Check

103 + 68 = 171

103 - 68 = 35