Brittany is asked about her age. She answers as follows. "My age is 10 more than twice the age of my younger brother." How old is her younger brother if Brittany is 34 years old?

12

Step-by-step explanation:

x will be the age of her younger brother

34 = 2x + 10

She is ten more than twice his age

34 = 2x + 10

- 10 - 10

Then she twice his age

24 = 2x

:2 : 2

So his age is 12

x = 12