SOLUTION: If Preston is 5 years older than Lillie and Lillie is 2 years older than Anna, the sum of their ages is 11, how old is Lillie?

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Question 925102: If Preston is 5 years older than Lillie and Lillie is 2 years older than Anna, the sum of their ages is 11, how old is Lillie?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
P, Preston
L, Lillie
A, Anna

system%28P=L%2B5%2CL=A%2B2%2CP%2BL%2BA=11%29

Various ways to solve the system. Notice the first two equations both share the variable, L only. These two equations give P=L+5 and A=L-2. Use these to substitute for P and for A in the age sum, the third equation; and solve for the value of L.