document.write( "Question 251871: Of three numbers, the 3rd is one less than the sum of the other two. It is also 8 more than twice the 2nd. The 1st is one less than 3 times the difference of the 3rd minus the 2nd. What is the largest of the three numbers? \n" ); document.write( "
Algebra.Com's Answer #183586 by richwmiller(17219)\"\" \"About 
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let n, m and p be the three numbers.
\n" ); document.write( " the 3rd is one less than the sum of the other two
\n" ); document.write( "p=n+m-1
\n" ); document.write( " It is also 8 more than twice the 2nd.
\n" ); document.write( "p=8+2*m
\n" ); document.write( "The 1st is one less than 3 times the difference of the 3rd minus the 2nd.
\n" ); document.write( "n=3*(p-m)-1
\n" ); document.write( "so our three equations with three unknowns are
\n" ); document.write( "p=n+m-1
\n" ); document.write( "p=8+2*m
\n" ); document.write( "n=3*(p-m)-1
\n" ); document.write( "m = -7, n = 2, p = -6
\n" ); document.write( "n is the largest since n=2 and the others are negative
\n" ); document.write( "check
\n" ); document.write( "1-
\n" ); document.write( "p=n+m-1
\n" ); document.write( "-6=2-7-1
\n" ); document.write( "-6=2-8
\n" ); document.write( "-6=-6
\n" ); document.write( "ok
\n" ); document.write( "2-
\n" ); document.write( "p=8+2*m
\n" ); document.write( "-6=8+2*(-7)
\n" ); document.write( "-6=8-14
\n" ); document.write( "-6=-6
\n" ); document.write( "ok
\n" ); document.write( "3-
\n" ); document.write( "n=3*(p-m)-1
\n" ); document.write( "2=3*(-6-(-7))-1
\n" ); document.write( "2=3*(-6+7)-1
\n" ); document.write( "2=3*(1)-1
\n" ); document.write( "2=3-1
\n" ); document.write( "2=2
\n" ); document.write( "ok \n" ); document.write( "
\n" );