SOLUTION: If Leah is 6 years older than Sue,and John is 5 years older than Leah, and the total of their ages is 41. How old is Sue?

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Question 182669: If Leah is 6 years older than Sue,and John is 5 years older than Leah, and the total of their ages is 41. How old is Sue?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let Sue's age=x
Then, Leah's age=highlight%286%29%2Bx, 6 yrs older than Sue
Also, John' age=highlight%285%29%2B6%2Bx, 5 yrs older than Leah
Therefore:
Sue%2BLeah%2BJohn=41
x%2B6%2Bx%2B5%2B6%2Bx=41
3x%2B17=41
3x=41-17=24------->cross%283%29x%2Fcross%283%29=cross%2824%298%2Fcross%283%29
highlight%28x=8yrs%29, Sue's Age
Leah's age=6%2B8=14yrs
John's Age=5%2B14=19yrs
Let's Check:
8%2B14%2B19=41
41yrs=41yrs
thank you,
Jojo