document.write( "Question 1132806: Ron’s age is 2.5 times the sum of Billy and Matt’s age. Ron is 35 years old, and Billy is 5 years old. Write and solve an equation to show the age of Matt. \n" ); document.write( "

Algebra.Com's Answer #749943 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "An equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    35 = 2.5*(5 + M).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "where M is unknown Matt's age.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To get the solution, first divide both sides of this equation by 2.5:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     = 5 + M,   or\r\n" );
document.write( "\r\n" );
document.write( "    14 = 5 + M.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next move \"5\" from the right side to the left, changing the sign.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus you get the solution M = 14 - 5 = 9.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Matt is 9 years old.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );