SOLUTION: Please help! the average age of 8 men is decreased by 2 years when two of them whose ages are 22 and 28 are replaced by two young boys what is average age of two boys?

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Question 1007118: Please help!
the average age of 8 men is decreased by 2 years when two of them whose ages are 22 and 28 are replaced by two young boys what is average age of two boys?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the average age of 8 men be 8m%2F8
if the average is decreased by 2 years when two of them replaced by two young boys b
%286m%2B2b%29%2F8
if two of those who are replaced are 22 and 28 old, then we have
%28%286m+%2B+22+%2B+28%29+%2F+8%29-+2+=+%286m+%2B+2b%29+%2F+8
%28%286m+%2B+50%29+%2F+8%29-+2+=+%286m+%2B+2b%29+%2F+8
%28%286m+%2B+50%29+%2F+8%29-++%286m+%2B+2b%29+%2F+8=2
%28%286m+%2B+50%29+-++%286m+%2B+2b%29%29+%2F+8=2
%286m+%2B+50+-++6m+-+2b%29+=2%2A8
+50+-+2b+=16
+50+-+16+=2b
34+=2b-> age of two young boys
then average age of two boys is
34%2F2=17