document.write( "Question 75197: The difference of two numbers is 45. The second is 3 less than 3 times the first. What are the two numbers? \n" ); document.write( "

Algebra.Com's Answer #53998 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let f=first number, s=second number. Here's the translation:
\n" ); document.write( " $\"s-f=45\"$ \"The difference (-) of two numbers(s and f) is (=) 45\"
\n" ); document.write( " $\"s=3f-3\"$ \"The second (s) is (=) 3 less (-3) than 3 times the first(3f)\"
\n" ); document.write( "So plug in $\"s=3f-3\"$ into $\"f-s=45\"$
\n" ); document.write( " $\"highlight%283f-3%29-f=45\"$
\n" ); document.write( " $\"2f%2B3=45\"$ Add like terms
\n" ); document.write( " $\"2f=48\"$ Subtract 3 from both sides
\n" ); document.write( " $\"f=24\"$ This is our first number
\n" ); document.write( "So the 1st number is 24. Use this to find the second number:
\n" ); document.write( " $\"s-24=45\"$ Add 24 to both sides
\n" ); document.write( " $\"s=69\"$ This is our second number
\n" ); document.write( "So the 2 numbers are 69 and 24
\n" ); document.write( "

\n" ); document.write( "Check:
\n" ); document.write( " $\"s-f=45\"$ Plug in f=24 and s=69
\n" ); document.write( " $\"69-24=45\"$
\n" ); document.write( " $\"45=45\"$ works
\n" ); document.write( " $\"s=3f-3\"$ Plug in f=24 and s=69
\n" ); document.write( " $\"69=3%2824%29-3\"$
\n" ); document.write( " $\"69=72-3\"$
\n" ); document.write( " $\"69=69\"$ works \n" ); document.write( "

\n" );