Question 891055
Questions 891055 and 891056 are the same problem as different examples.


nameOne is k years older than nameTwo.  In c years, the sume of their ages will be T.  How old
is each now?


Let x = age of nameOne
Let y = age of nameTwo


{{{x=y+k}}}; and {{{(x+c)+(y+c)=T}}}.
Solve for x and y.


{{{x-y=k}}} and {{{x+y+2c=T}}},
{{{x+y=T-2c}}}
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You can use Elimination Method to begin handling the system:
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{{{x-y=k}}}
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{{{x+y=T-2c}}}
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Simply adding the corresponding members,
{{{2x=T+k-2c}}}
{{{highlight(x=(T+k)/2-c)}}}
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The first equation may be simplest for now getting a formula for y.
{{{y=x-k}}}
{{{y=(T+k)/2-c-k}}}
{{{y=T/2+k/2-k-c}}}
{{{y=T/2-k/2-c}}}
{{{highlight(y=(T-k)/2-c)}}}
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Now just substitute the corresponding values from the original description for T, k, and c.