Question 1126053
One fifth of a man's age 6 years ago equals one seventh of his age 10 years hence. How old is he now? 
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this is the equation, just remember the brackets
{{{1/5}}}(x-6) = {{{1/7}}}(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
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check
{{{1/5}}}(46-6) = {{{1/7}}}(46+10)
{{{1/5}}}(40) = {{{1/7}}}(56)
8 = 8