document.write( "Question 1133105: The ages of Sam,Tonton, and Ramon are consecutive integers. Sam is younger than Ramon but older than Tonton. Sam's mother is thrice as old as Sam and 14 years older than twice as old as Ramon. Find the ages of each person. \n" ); document.write( "

Algebra.Com's Answer #750286 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the age of the youngest be $\"+x+\"$
\n" ); document.write( "In order of increasing age, their ages are:
\n" ); document.write( "Tonton: $\"+x+\"$
\n" ); document.write( "Sam: $\"+x+%2B+1+\"$
\n" ); document.write( "Ramon: $\"+x+%2B+2+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Sam's mother's age is:
\n" ); document.write( "(1) $\"+3%2A%28+x+%2B+1+%29+\"$
\n" ); document.write( "(2) $\"+2%2A%28+x+%2B+2+%29+%2B+14+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "So, I can say:
\n" ); document.write( " $\"+3%2A%28+x+%2B+1+%29+=+2%2A%28+x+%2B+2+%29+%2B+14+\"$
\n" ); document.write( " $\"+3x+%2B+3+=+2x+%2B+4+%2B+14+\"$
\n" ); document.write( " $\"+3x+-+2x+=+18+-+3+\"$
\n" ); document.write( " $\"+x+=+15+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+%2B+1+=+16+\"$
\n" ); document.write( " $\"+x+%2B+2+=+17+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Tonton is 15
\n" ); document.write( "Sam is 16
\n" ); document.write( "Ramon is 17
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+3%2A%28+x+%2B+1+%29+=+2%2A%28+x+%2B+2+%29+%2B+14+\"$
\n" ); document.write( " $\"+3%2A16+=+2%2A17+%2B+14+\"$
\n" ); document.write( " $\"+48+=+34+%2B+14+\"$
\n" ); document.write( " $\"+48+=+48+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );