SOLUTION: I need help with the question below. I do not know where to start with this question. "John spent a quarter of his life as a boy growing up, a sixth of his life in college, and

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Question 273518: I need help with the question below. I do not know where to start with this question.
"John spent a quarter of his life as a boy growing up, a sixth of his life in college, and a half of his life as a teacher. He spent the last 6 years in retirement. How old was he when he died?"

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a be his age when he died
a%2F4 growing up
a%2F6 in college
a%2F2 as a teacher
6 yrs retired
Now I can write the equation:
a%2F4+%2B+a%2F6+%2B+a%2F2+%2B+6+=+a
Multliply both sides by 12
3a+%2B+2a+%2B+6a+%2B+72+=+12a
11a+%2B+72+=+12a
a+=+72
He was 72 when he died
check:
a%2F4+%2B+a%2F6+%2B+a%2F2+%2B+6+=+a
72%2F4+%2B+72%2F6+%2B+72%2F2+%2B+6+=+72
Multiply both sides by 12
3%2A72+%2B+2%2A72+%2B+6%2A72+%2B+6%2A12+=+72%2A12
72%2A%283+%2B+2+%2B+6%29+%2B+72+=+72%2A12
Divide both sides by 72
3+%2B+2+%2B+6+%2B+1+=+12
12+=+12
OK