Question 913091
Let's call the age of Jen's mom x.

Jen is 26 years younger, so Jen's age will be her mom's age minus 26.

Therefore:

Mom's age: x
Jen's age: x - 26

If their ages added together equal 50 we can turn this into an equation, like this...

x + (x - 26) = 50

Now you just solve for x.

2x - 26 = 50

Add 26 on both sides and you get...

2x = 76

Divide both sides by 2...

x = 38

38 is the age of Jen's mom. Subtract 26 from 38 and you get Jen's age.

38 - 26 = 12

12 is Jen's age. Let's confirm this further by adding their ages and see if they add up to 50.

38 + 12 = 50

They do. There you go!