Question 995241
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S=smaller number; L=larger number=S+4
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{{{S^2+3L=66}}}
{{{S^2+3(S+4)=66}}}
{{{S^2+3S+12=66}}}
{{{S^2+3S-54=0}}}
{{{(S+9)(S-6)=0}}}
{{{S+9=0}}} {{{OR}}} {{{S-6=0}}}
{{{S=-9}}} {{{OR}}} {{{S=6}}}
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L=S+4
L=-9+4  OR  L=6+4
L=-5  OR  L=10
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ANSWER: The two numbers are -9 and -5 or 6 and 10.