Jenny is eight years older then twice her cousin sues age. The sum of their ages is less then 32. What is the greatest age that sue could be

The answer is 7 years old.

Let J be the age of Jenny and C, the age of the cousin. Now

Translate from English to Math

J=2C+8 and J+C=32. We have a system of 2 equations

with 2 variables, J and C

J=2C+8 And

J+C=32. Re-arrange the 1st equation : J-2C = 8, so

J-2C = 8

J+C=32, solve by elimination and you will find Jenny = 32 and cousin 8 years