document.write( "Question 21447: If 2 numbers have a product of 75, a quotient of 3, and a difference of 10, what's the sum of these 2 numbers? \n" ); document.write( "
Algebra.Com's Answer #10331 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! let the 2 numbers be x and y .we have \n" ); document.write( "xy=75.......I.......... \n" ); document.write( "x/y=3.................II. \n" ); document.write( "x-y=10....................III \n" ); document.write( ".actually 2 relations should do to solve the problem \n" ); document.write( "from II,we have....x/y=3 \n" ); document.write( "x=3y....... \n" ); document.write( "substituting in I we get \n" ); document.write( "xy=3y*y=75 \n" ); document.write( "y*y=75/3=25 \n" ); document.write( "y=5 \n" ); document.write( "so x =3y=3*5=15 \n" ); document.write( "so 5 and 15 are the 2 numbers .incidentally this satoisfies the third relation of x-y =15-5=10...so no problem this is the answer...otherwise we would have to say NO ANSWER!!!! \n" ); document.write( " |