Alex is 7 years older than Jordan. the sum if their ages is 33, how old are Jordan and Alex

Jordan is 13 and Alex is 20 years old

To answer this, set up a system of equations.

We know that Jordan's age, y, plus Alex's age, x, is equal to 33

x+y=33

We also know that Alex's age, x, is equal to Jordan's age, y, plus 7

x=y+7

Substitute (y+7) in for x. You can do this because y+7 is equal to x

y+y+7==33

Combine like terms

2y+7=33

Subtract 7 from each side

2y=26

Finally divide each side by 2

y=13

Jordan is 13 years old.

Plug 13 in for y in the second equation.

x=13+7

x=20

Alex is 20 years old

To check your answer, plug both ages in to true other equation.

20+13=33

33=33

Alex=20 years old

Jordan=13 years ild