document.write( "Question 982687: The product of three no in A.P is 224 and largest no is 7 times the smaller. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #603494 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the numbers be \r \n" ); document.write( "\n" ); document.write( "a-d, a , a+d\r \n" ); document.write( "\n" ); document.write( "a(a^2-d^2) =224\r \n" ); document.write( "\n" ); document.write( "a+d = 7(a-d)\r \n" ); document.write( "\n" ); document.write( "a+d = 7a-7d \n" ); document.write( "6a=8d \n" ); document.write( "a=8d/6 = 4d/3\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a(a^2-d^2) =224 \n" ); document.write( "4d/3((4d/3)^2 -d^2)=224 \n" ); document.write( "d(16d^2/9 -d^2) =56*3\r \n" ); document.write( "\n" ); document.write( "d(16d^2-9d^2)/9)=56*3\r \n" ); document.write( "\n" ); document.write( "d(7d^2) = 56*3*9\r \n" ); document.write( "\n" ); document.write( "7d^3= 56*3*9/7\r \n" ); document.write( "\n" ); document.write( "d^3= 8*3*9\r \n" ); document.write( "\n" ); document.write( "d=6 \n" ); document.write( "a=8\r \n" ); document.write( "\n" ); document.write( "the numbers 2,8,14 \n" ); document.write( " \n" ); document.write( " |