document.write( "Question 196820: The larger of two positive integers is five more than twice the smaller integer. The product of the integers is 52. What are the two integers? \n" ); document.write( "

Algebra.Com's Answer #147532 by Mathtut(3670) $\"\"$ $\"About$

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let a be the larger of two intergers, and b be the smaller
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\n" ); document.write( "a=2b+5......eq 1
\n" ); document.write( "a*b=52......eq 2
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\n" ); document.write( "take a's value from eq 1 and plug it into eq 2
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\n" ); document.write( "(2b+5)b=52
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\n" ); document.write( " $\"2b%5E2%2B5b-52=0\"$
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\n" ); document.write( " $\"%282b%2B13%29%28b-4%29=0\"$
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\n" ); document.write( "2b+13=0 and b-4=0
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\n" ); document.write( "b=-13/2 and b=4----->-13/2 is neither an integer or positive
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\n" ); document.write( "b=4---->a=52/4=13 \n" ); document.write( "

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