Question

The sum of A and B is 125 and their difference is 12. What are the numbers?

Answer 1

A = 68.5

B = 56.5

Explanation:

A + B = 125

A - B = 12

Add B to both sides of the second equation

A = 12 + B

Now substitute new second equation into the first equation

12 + B + B = 125

Add the B's together

12 + 2B = 125

Subtract 12 from both sides of the equation

2B = 113

B = 56.5

A = 68.5

Hope this helps :)

Answer 2

A = 68.5

B = 56.5

Explanation:

This question is about simultaneous equations

A + B = 125

A - B = 12

Minus everything

A - A = Nothing

B - - B =2B

125 - 12 = 113

So you get 2B = 113. Divide by 2 to get 56.5

Use the 56.5 to get the other value

A + 56.5 = 125

125 - 56.5 = A

A =68.5

The difference between 68.5 and 56.5 is 12 and they add to 125