document.write( "Question 671533: my sum of my digits is 16 the product of my digits is 64 what number am i? \n" ); document.write( "
Algebra.Com's Answer #417453 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! my sum of my digits is 16 the product of my digits is 64 what number am i? \n" ); document.write( "--- \n" ); document.write( "Assuming the number is a 2 digit number, let it be 10t + u \n" ); document.write( "-------- \n" ); document.write( "Equations: \n" ); document.write( "t + u = 16 \n" ); document.write( "t*u = 64 \n" ); document.write( "-------- \n" ); document.write( "Substitute for \"t\" and solve for \"u\": \n" ); document.write( "t = 16-u \n" ); document.write( "(16-u)u = 64 \n" ); document.write( "16u - u^2 = 64 \n" ); document.write( "u^2 - 16u + 64 = 0 \n" ); document.write( "------- \n" ); document.write( "Factor: \n" ); document.write( "(u-8)^2 = 0 \n" ); document.write( "u = 8 \n" ); document.write( "---- \n" ); document.write( "Solve for \"t\": \n" ); document.write( "t + 8 = 16 \n" ); document.write( "t = 8 \n" ); document.write( "------- \n" ); document.write( "The number is 10t+u = 88 \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |