document.write( "Question 37808: The sum of two positive integers is 25. The diffence of their squares is 275. Find the two integers. \n" ); document.write( "

Algebra.Com's Answer #23322 by Paul(988) $\"\"$ $\"About$

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Let the integers be x and y
\n" ); document.write( "x+y=25
\n" ); document.write( "y=25-x (subsitution)
\n" ); document.write( " $\"x%5E2-y%5E2=275\"$
\n" ); document.write( "Subsitute for y:
\n" ); document.write( " $\"x%5E2-%2825-x%29%5E2=275\"$
\n" ); document.write( " $\"x%5E2-%28625%2Bx%5E2-50x%29=275\"$
\n" ); document.write( " $\"50x-900=0\"$
\n" ); document.write( "x=18
\n" ); document.write( "y=25-18
\n" ); document.write( "y=7
\n" ); document.write( "Hence, the two integers are 18 and 7.
\n" ); document.write( "Paul. \n" ); document.write( "

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