document.write( "Question 59256: If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers?
\n" ); document.write( "I wrote for following expressions:\r
\n" ); document.write( "\n" ); document.write( "a =
\n" ); document.write( "b = a+6
\n" ); document.write( "c = 3(a+b)-4\r
\n" ); document.write( "\n" ); document.write( "I am unable to solve for the three angles. Your help is appreaciated.
\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #40613 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have 3 unknowns
\n" ); document.write( "That means you need 3 equations, or you can't solve.
\n" ); document.write( "The one you're missing is:
\n" ); document.write( "a + b + c = 180 That's true of all triangles
\n" ); document.write( "[1] $\"b+=+a+%2B+6\"$
\n" ); document.write( "[2] $\"c+=+3%2A%28a+%2B+b%29+-+4\"$
\n" ); document.write( "[3] $\"a+%2B+b+%2B+c+=+180\"$
\n" ); document.write( "expand [2]
\n" ); document.write( " $\"c+=+3a+%2B+3b+-+4\"$
\n" ); document.write( "subtract c from both sides
\n" ); document.write( "[4] $\"3a+%2B+3b+-+c+-+4+=+0\"$
\n" ); document.write( "add 4 to both sides
\n" ); document.write( " $\"3a+%2B+3b+-+c+=+4\"$
\n" ); document.write( "multiply both sides of [3] by 3
\n" ); document.write( " $\"3a+%2B+3b+%2B+3c+=+540\"$
\n" ); document.write( "subtract one from the other
\n" ); document.write( " $\"4c+=+536\"$
\n" ); document.write( " $\"c+=+134\"$
\n" ); document.write( "substitute in [4]
\n" ); document.write( " $\"3a+%2B+3b+-+134+-4+=+0\"$
\n" ); document.write( "[5] $\"3a+%2B+3b+=+138\"$
\n" ); document.write( "[1] $\"b+=+a+%2B+6\"$
\n" ); document.write( " $\"a+-+b+=+-6\"$
\n" ); document.write( "muiltiply both sides by 3
\n" ); document.write( " $\"3a+-+3b+=+-18\"$
\n" ); document.write( "add to [5]
\n" ); document.write( " $\"6a+=+120\"$
\n" ); document.write( " $\"a+=+20\"$
\n" ); document.write( "[3] $\"a+%2B+b+%2B+c+=+180\"$
\n" ); document.write( " $\"20+%2B+b+%2B+134+=+180\"$
\n" ); document.write( " $\"b+%2B+154+=+180\"$
\n" ); document.write( " $\"b+=+26\"$
\n" ); document.write( "check
\n" ); document.write( "[1] $\"b+=+a+%2B+6\"$
\n" ); document.write( " $\"26+=+20+%2B+6\"$
\n" ); document.write( " $\"26+=+26\"$
\n" ); document.write( "[2] $\"c+=+3%2A%28a+%2B+b%29+-+4\"$
\n" ); document.write( " $\"134+=+3%2A%2820+%2B+26%29+-+4\"$
\n" ); document.write( " $\"134+=+3%2A46+-+4\"$
\n" ); document.write( " $\"134+=+138+-+4\"$
\n" ); document.write( " $\"134+=+134\"$
\n" ); document.write( "OK
\n" ); document.write( "so,
\n" ); document.write( "a = 20 degrees
\n" ); document.write( "b = 26 degrees
\n" ); document.write( "c = 134 degrees \n" ); document.write( "

\n" );