document.write( "Question 1095287: The sum of age of matt and Sam is 29,sam and Ben 26,ben and Matt 31,how old is the youngest? \n" ); document.write( "
Algebra.Com's Answer #709834 by KMST(5328)\"\" \"About 
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THE FIFTH GRADER'S SOLUTION:
\n" ); document.write( "The sum of the ages of the two oldest persons
\n" ); document.write( "must be greater than the other two sums including the youngest person.
\n" ); document.write( "So, Sam is the youngest.
\n" ); document.write( "If you switch from Sam to Matt in a pair,
\n" ); document.write( "the sum of ages increases by 37-26=11,
\n" ); document.write( "so Matt is 11 years older than Sam.
\n" ); document.write( "That means that the sum of ages for Matt and Sam (29)
\n" ); document.write( "is 11 more than twice Sam's age,
\n" ); document.write( "so 29-11=18 is twice Sam's age and Sam is \"highlight%289%29\" .
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\n" ); document.write( "ALGEBRA:
\n" ); document.write( "\"S\"= Sam's age,
\n" ); document.write( "\"M\"= Matt's age,
\n" ); document.write( "\"B\"= Ben's age.
\n" ); document.write( "\"system%28B%2BM=37%2CB%2BS=26%29\"-->\"B%2BM-%28B%2BS%29=37-26\"-->\"B%2BM-B-S=12\"-->\"M-S=11\"
\n" ); document.write( "\"system%28M%2BS=29%2CM-S=11%29\"-->\"M%2BS-%28M-S%29=29-11\"-->\"M%2BS-M%2BS=29-11\"-->\"2S=18\"-->\"S=28%2F2\"-->\"highlight%28S=9%29\"
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\n" ); document.write( "CONCLUSION: Algebra makes the statement shorter and requires no translation.
\n" ); document.write( "It is the easiest foreign language you will ever learn.
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