SOLUTION: A is 10 yrs older than B. B is 10 yrs younger than C. D is 10 yrs older than A . E is ten years younger than D . Who is the youngest ?

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Question 927721: A is 10 yrs older than B. B is 10 yrs younger than C. D is 10 yrs older than A . E is ten years younger than D .
Who is the youngest ?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
ALGEBRA-STYLE:
A (who is a years old) is 10 yrs older than B (who is b years old), so a=b%2B10
B is 10 yrs younger than C (who is c years old), so
b=c-10<--->c=b%2B10
D (who is d years old) is 10 yrs older than A, so
d=a%2B10--->d=%28b%2B10%29%2B10--->d=b%2B20
E (who is e years old) is ten years younger than D, so
e=d-10--->d=%28b%2B20%29-10--->d=b%2B10 .
So, highlight%28B%29 is the youngest,
A, C, and E are all the same age, and 10 years older than B,
and D is 20 years older than B, and the oldest of them all.

You can also do it without algebra, plotting ages on a number line.