SOLUTION: Mark is two years older than Juan. Jerman is twice as old as Mark. Coral is twice as old as Jerman. The sum of their ages is 38. How old is Mark?

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Question 1165652: Mark is two years older than Juan. Jerman is twice as old as Mark. Coral is twice as old as Jerman. The sum of their ages is 38. How old is Mark?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Mark, m
Juan, n
Jermin,r
Carol, c
-
system%28m=n%2B2%2Cr=2m%2Cc=2r%2Cm%2Bn%2Br%2Bc=38%29

sub for m:
system%28m=n%2B2%2Cr=2n%2B4%2Cc=2r%29

sub for r:
system%28m=n%2B2%2Cr=2n%2B4%2Cc=4n%2B8%29

Sub into the sum equation:
%28n%2B2%29%2Bn%2B%282n%2B4%29%2B%284n%2B8%29=38
.
.
highlight%28n=3%29--------Juan's age found.



Other substitutions,...
result in
system%28m=5%2Cr=10%2Cc=20%29system%28Mark%2CJerman%2CCarol%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Mark is two years older than Juan. Jerman is twice as old as Mark. Coral is twice as old as Jerman. The sum of their ages is 38. How old is Mark?
Let Mark's age be M

Then Juan's is: M - 2, Jerman's is: 2M, and Carol's is: 2(2M) = 4M

As their ages sum to 38, we get: M + M - 2 + 2M + 4M = 38

8M = 40

Mark, or