document.write( "Question 877073: a number consists of two digits. The digits in the tenth place is 3 times the digit at unit place.If 54 is subtracted from number the digits are reversed then the number is ? \n" ); document.write( "
Algebra.Com's Answer #529199 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a number consists of two digits. \n" ); document.write( "let a = 10's digit, let b = tens digit \n" ); document.write( "then \n" ); document.write( "10a + b = \"the number\" \n" ); document.write( ": \n" ); document.write( " The digits in the tenth place is 3 times the digit at unit place. \n" ); document.write( "a = 3b \n" ); document.write( ": \n" ); document.write( "If 54 is subtracted from number the digits are reversed then the number is ? \n" ); document.write( "10a + b - 54 = 10b + a \n" ); document.write( "10a - a + b - 10b = 54 \n" ); document.write( "9a - 9b = 54 \n" ); document.write( "simplify, divide by 9 \n" ); document.write( "a - b = 6 \n" ); document.write( "replace a with 3b \n" ); document.write( "3b - b = 6 \n" ); document.write( "2b = 6 \n" ); document.write( "b = 6/2 \n" ); document.write( "b = 3 is the units \n" ); document.write( "I'll let you find the 10's digit, check your solutions in the 2nd statement \n" ); document.write( " |