Question 1140098
Some punctuation is missing:
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Gina is 6 years younger than Nancy in 9 years time their total age will be 34 how old is Nancy now?
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Since some punctuation is missing, any possible interpretation might be right or might be wrong.
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Gina is 6 years younger than Nancy in 9 years time.
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g, Gina now
n+9, Nancy in nine years time
g=n+9, meaning g-9=n.
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Their total age will be 34.
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When?  In 9 years time?
{{{highlight_green(g+n=34-9-9)}}}
{{{g+n=34-18}}}
{{{highlight_green(g+n=16)}}}


Use this as a system with the other equation from the description:
{{{system(g+n=16,g=n+9)}}}
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{{{(n+9)+n=16}}}
{{{2n+9=16}}}
{{{2n=7}}}
{{{highlight_green(n=3&1/2)}}}, almost certainly NOT the answer you want.