Mark and Jose have a combined weight of 270 pounds. Mark weighs 30 pounds less than twice Jose's weight. How much do Mark and Jose weigh

A) M + J = 270

B) - M + 2J = + 30

Adding both equations

3 J = 300

Jose = 100 pounds

Mark = 170 pounds

Let Mark's weight be x and Jose's weight be y.

1) x+y=270

We also know that Mark weighs 30 pounds less than twice Jose's weight, giving us

2) x+30=2y

Using 1), isolate for a variable.

3) y=270-x

Plug 3) back into 2) to solve for x.

x+30=2 (270-x)

x+30=540-2x

3x=510

x=170 lbs.

Using x, plug that back into 1) to solve for Jose's weight.

170+y=270

y=100 lbs.

Therefore, Mark weighs 170 pounds and Jose weighs 100 pounds.