document.write( "Question 559817: Hi, my name is Courtney. May you help me with this problem, I can not figure this out. (One number is 28 more than three times another number. If each number were multiplied by four, their difference would be 232. What are the numbers?). Thank you. \n" ); document.write( "

Algebra.Com's Answer #363531 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I can see why you have trouble. It's hard to read.
\n" ); document.write( "Call the numbers $\"+a+\"$ and $\"+b+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+3b+%2B+28+\"$
\n" ); document.write( "From this data, you can see that $\"+a+\"$ is the larger number
\n" ); document.write( "You can use this fact in the next equation
\n" ); document.write( "(2) $\"+4a+-+4b+=+232+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "(1) $\"+a+-+3b+=+28+\"$
\n" ); document.write( "and
\n" ); document.write( "Divide both sides of (2) by $\"4\"$
\n" ); document.write( "(2) $\"+a+-+b+=+58+\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+a+-+b+=+58+\"$
\n" ); document.write( "(1) $\"+-a+%2B+3b+=+-28+\"$
\n" ); document.write( " $\"+2b+=+30+\"$
\n" ); document.write( " $\"+b+=+15+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+a+-+b+=+58+\"$
\n" ); document.write( "(2) $\"+a+-+15+=+58+\"$
\n" ); document.write( "(2) $\"+a+=+58+%2B+15+\"$
\n" ); document.write( "(2) $\"+a+=+73+\"$
\n" ); document.write( "The numbers are 73 and 15
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+=+3b+%2B+28+\"$
\n" ); document.write( "(1) $\"+73+=+3%2A15+%2B+28+\"$
\n" ); document.write( "(1) $\"+73+=+45+%2B+28+\"$
\n" ); document.write( "(1) $\"+73+=+73+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+4a+-+4b+=+232+\"$
\n" ); document.write( "(2) $\"+4%2A%28+a+-+b+%29+=+232+\"$
\n" ); document.write( "(2) $\"+4%2A%28+73+-+15+%29+=+232+\"$
\n" ); document.write( "(2) $\"+4%2A58+=+232+\"$
\n" ); document.write( "(2) $\"+232+=+232+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );