document.write( "Question 1129639: Amanda is 5 years older than Peter and Sam is 3 years younger then Peter.If the sum of their ages is 50,find their respective ages.
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Algebra.Com's Answer #746211 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Amanda's age now
\n" ); document.write( "Let $\"+b+\"$ = Peter's age now
\n" ); document.write( "Let $\"+c+\"$ = Sam's age now
\n" ); document.write( "--------------------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+5+\"$
\n" ); document.write( "(2) $\"+c+=+b+-+3+\"$
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+50+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+b+%2B+5+%2B+b+%2B+b+-+3+=+50+\"$
\n" ); document.write( "(3) $\"+3b+%2B+2+=+50+\"$
\n" ); document.write( "(3) $\"+3b+=+48+\"$
\n" ); document.write( "(3) $\"+b+=+16+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+16+%2B+5+\"$
\n" ); document.write( "(1) $\"+a+=+21+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+c+=+16+-+3+\"$
\n" ); document.write( "(2) $\"+c+=+13+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Amanda is 21
\n" ); document.write( "Peter is 16
\n" ); document.write( "Sam is 13
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+21+=+16+%2B+5+\"$
\n" ); document.write( "(1) $\"+21+=+21+\"$
\n" ); document.write( "OK
\n" ); document.write( "You can finish checking \n" ); document.write( "

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