Question 119285
Let x = original numerator
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Just write an expression for what it says:
:
"the denominator of a fraction is 5 more than the numerator."
{{{x/((x+5))}}}
: 
"if 5 is added to the numerator and 2 is added to the denominator,:
{{{((x+5))/((x+5+2))}}} = {{{((x+5))/((x+7))}}}
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 "the value of the fraction is 8/9."
{{{((x+5))/((x+7))}}} = {{{8/9}}}
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" find the original fraction."
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Cross multiply and solve for x:
9(x+5) = 8(x+7)
:
9x + 45 = 8x + 56
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9x - 8x = 56 - 45
:
x = 11
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Original fraction: {{{11/16}}}
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Check solution using the statement:
"if 5 is added to the numerator and 2 is added to the denominator the value of the fraction is 8/9."
{{{16/18}}} = {{{8/9}}} confirms out solution
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How about this? Could you follow this OK? Any questions?