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

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

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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

The answer is 7 years old.