document.write( "Question 724260: the sum of twice a first number and five times a second number is 99? if the second number is subtracted from five the first number the result is 45. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #443719 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
let the two number be a & b
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"the sum of twice a first number and five times a second number is 99?\"
\n" ); document.write( "2a + 5b = 99
\n" ); document.write( ":
\n" ); document.write( "\"if the second number is subtracted from five the first number the result is 45.
\n" ); document.write( "Perhaps you mean:
\n" ); document.write( " \"if the second number is subtracted from five times the first number the result is 45.\"
\n" ); document.write( "5a - b = 45
\n" ); document.write( "or
\n" ); document.write( "b = 5a - 45
\n" ); document.write( ":
\n" ); document.write( "In the 1st equation, replace b with (5a-45)
\n" ); document.write( "2a + 5(5a-45) = 99
\n" ); document.write( "2a + 25a - 225 = 99
\n" ); document.write( "27a = 99 + 225
\n" ); document.write( "27a = 324
\n" ); document.write( "a = 324/27
\n" ); document.write( "a = 12
\n" ); document.write( ":
\n" ); document.write( "Find b using b = 5a - 45
\n" ); document.write( "b = 5(12) - 45
\n" ); document.write( "b = 60 - 45
\n" ); document.write( "b = 15
\n" ); document.write( ":
\n" ); document.write( " Find the numbers. 12 & 15
\n" ); document.write( ";
\n" ); document.write( ";
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"the sum of twice a first number and five times a second number is 99?\"
\n" ); document.write( "2(12) + 5(15) =
\n" ); document.write( "24 + 75 = 99 \n" ); document.write( "
\n" );