SOLUTION: Hi! I'm a little confused on this algebra word problem: One fifth of a man's age 6 years ago equals one seventh of his age 10 years hence. How old is he now? Is the equati

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Question 1126053: Hi!
I'm a little confused on this algebra word problem:
One fifth of a man's age 6 years ago equals one seventh of his age 10 years hence. How old is he now?
Is the equation 1/5x-6=1/7x+10 if X equals the man's age? If that is not the equation, could you explain how to get the equation and also how to solve the equation?
Thank you so much!
-Maddie
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One fifth of a man's age 6 years ago equals one seventh of his age 10 years hence. How old is he now?
:
this is the equation, just remember the brackets
1%2F5(x-6) = 1%2F7(x+10)
Get rid of the denominators, multiply both sides by 35
7(x-6) = 5(x+10)
distribute
7x - 42 = 5x + 50
7x - 5x = 50 + 42
2x = 92
x = 92/2
x = 46 yr old now
:
:
check
1%2F5(46-6) = 1%2F7(46+10)
1%2F5(40) = 1%2F7(56)
8 = 8