Question 972765
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x=larger number; y=smaller number
{{{x-y=3}}}
{{{x=3+y}}} Use this to substitute for x.
.
{{{y^2=4x}}} Substitute for x.
{{{y^2=4(3+y)}}}
{{{y^2=12+4y}}}
{{{y^2-4y-12=0}}}
{{{(y-6)(y+2)=0}}}
{{{y-6-0}}} {{{or}}} {{{y+2=0}}}
{{{y=6}}} {{{or}}} {{{y=-2}}}
{{{x=3+y}}}
{{{x=3+6}}} {{{or}}} {{{x=3+(-2)}}}
{{{x=9}}} {{{or}}} {{{x=1}}}
ANSWER: The larger number is 9 and the smaller is 6 or the larger is 1 and the smaller is -2.