document.write( "Question 658818: Find two consecutive integers such that the sum of one-half the first and three-fifths the second is 27 \n" ); document.write( "

Algebra.Com's Answer #410502 by checkley79(3341) $\"\"$ $\"About$

You can put this solution on YOUR website!
LET X BE THE FIRST INTEGER.
\n" ); document.write( "LET (X+1) BE THE SECOND INTEGER.
\n" ); document.write( "X/2+3/5(X+1)=27
\n" ); document.write( "X/2+3(X+1)/5=27
\n" ); document.write( "X/2+(3X+3)/5=27 FIND A COMMON DENOMINATOR FOR THE 2 FRACTIONS.
\n" ); document.write( "2 4 6 8 (10) 12 14
\n" ); document.write( "5 (10) 15 20
\n" ); document.write( "2*5=10 IS THE LOWEST COMMON DENOMINATOR
\n" ); document.write( "[5X+2*(3X+3)]/10=27
\n" ); document.write( "[5X+6X+6]/10=27 CROSS MULTIPLY.
\n" ); document.write( "11X+6=270
\n" ); document.write( "11X=270-6
\n" ); document.write( "11X=264
\n" ); document.write( "X=264/11
\n" ); document.write( "X=24 ANS. FOR THE FIRST INTEGER.
\n" ); document.write( "24+1=25 ANS. FOR THE SECOND INTEGER.
\n" ); document.write( "PROOF:
\n" ); document.write( "24/2+3/5*25=27
\n" ); document.write( "12+75/5=27
\n" ); document.write( "12+15=27
\n" ); document.write( "27=27 \n" ); document.write( "

\n" );