document.write( "Question 955037: The sum of the squares of the digits of a certain two digit positive integer is 20. The integer is seven times the sum of its digits. Find the integer. \n" ); document.write( "
Algebra.Com's Answer #583343 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The sum of the squares of the digits of a certain two digit positive integer is 20. The integer is seven times the sum of its digits. Find the integer. \n" ); document.write( "----- \n" ); document.write( "Let the number be 10t+u \n" ); document.write( "------ \n" ); document.write( "Equation: \n" ); document.write( "t^2 + u^2 = 20 \n" ); document.write( "10t+u = 7(t+u) \n" ); document.write( "------------------------- \n" ); document.write( "Simplify:: \n" ); document.write( "t^2 + u^2 = 20 \n" ); document.write( "t = 2u \n" ); document.write( "-- \n" ); document.write( "Substitute and solve for \"u\": \n" ); document.write( "4u^2 + u^2 = 20 \n" ); document.write( "5u^2 = 20 \n" ); document.write( "u = 2 or u = -2 \n" ); document.write( "--------------- \n" ); document.write( "If u = 2, t = 4 giving you 10t+u = 42 \n" ); document.write( "if u = -2, t = -4 giving you 10t+u = -42 \n" ); document.write( "--------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------- \n" ); document.write( " |