Question

How is Solve this equation M + A = 68 and M = A + 24

Answer 1

Hi there! :)

$\large\boxed{A = 22 \text{ , } M = 46 }$

We can solve by setting both equations equal to the same variable.

We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.

Rearrange the first equation by subtracting A from both sides:

M = -A + 68

Now that both equations equal to M, we can set the two equal to each other:

-A + 68 = A + 24

Add A to both sides:

68 = 2A + 24

Subtract 24 from both sides:

44 = 2A

Divide both sides by 2:

A = 22.

Plug this back into an equation to solve for M:

M + 22 = 68

M = 68 - 22

M = 46.