SOLUTION: P is 2 times the age of K. In 5 years the sum of their age will be 37. What is their average age?

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Question 1184242: P is 2 times the age of K. In 5 years the sum of their age will be 37. What is their average age?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if P+is 2 times the age ofK, we have
P+=2K....eq.1
if in 5 years the sum of their age will be 37, we have
%28P%2B5%29+%2B%28K%2B5%29=37
P+%2BK%2B10=37
P+%2BK=37-10
P+%2BK=27...eq.2
substitute P from eq.1
2K+%2BK=27
3K=27
K=9
then
P+=2%2A9....eq.1
P+=18
their average age:P+ is 18 and K+ is 9

in 5 years P+=23 and K=14