document.write( "Question 36984: Joseph is twelve years younger than Mack. Kevin is 1year younger than Joseph. The sum of their ages is sixty-two. How old is joseph. \n" ); document.write( "

Algebra.Com's Answer #22738 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
J = M - 12
\n" ); document.write( "or, M = J + 12
\n" ); document.write( "K = J - 1
\n" ); document.write( "J + M + K = 62
\n" ); document.write( "find K and M in terms of J
\n" ); document.write( "J + (J + 12) + (J - 1) = 62
\n" ); document.write( "3J + 11 = 62
\n" ); document.write( "3J = 51
\n" ); document.write( "J = 17
\n" ); document.write( "--------
\n" ); document.write( "Find K and M
\n" ); document.write( "M = J + 12
\n" ); document.write( "M = 17 + 12
\n" ); document.write( "M = 29
\n" ); document.write( "---------
\n" ); document.write( "K = J - 1
\n" ); document.write( "K = 17 - 1
\n" ); document.write( "K = 16
\n" ); document.write( "----------
\n" ); document.write( "Now check answers
\n" ); document.write( "J + M + K = 62
\n" ); document.write( "17 + 29 + 16 = 62
\n" ); document.write( "checks
\n" ); document.write( "M = J + 12
\n" ); document.write( "29 = 17 + 12
\n" ); document.write( "checks
\n" ); document.write( "K = J - 1
\n" ); document.write( "16 = 17 - 1
\n" ); document.write( "checks \n" ); document.write( "

\n" );