document.write( "Question 18130: The sum of two integers is 25. The difference of their squares is 275. Find the two integers. \n" ); document.write( "
Algebra.Com's Answer #8732 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! let the 2 integers be x and y \n" ); document.write( "we are given ....x+y=25......(1)... and x^2-y^2=275. \n" ); document.write( "we know (x+y)(x-y)=x^2-y^2 \n" ); document.write( "so ...25(x-y)=275 \n" ); document.write( "x-y=275/25=11......(2) \n" ); document.write( "(1)+(2)....x+y+x-y=25+11=36 \n" ); document.write( "2x=36 \n" ); document.write( "x=18..so ...18+y=25..or y=25-18=7 \n" ); document.write( " |