document.write( "Question 549934: Beth is 8 2/3 older than Ben. The Sum of their ages is 23 Years.How old is Ben ? \n" ); document.write( "

Algebra.Com's Answer #358207 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"a\"$ = Beth's age
\n" ); document.write( "Let $\"b\"$ = Ben's age
\n" ); document.write( "given:
\n" ); document.write( " $\"+a+=+b+%2B+26%2F3+\"$
\n" ); document.write( " $\"+a+%2B+b+=+23+\"$
\n" ); document.write( "--------------
\n" ); document.write( "by substitution:
\n" ); document.write( " $\"+b+%2B+26%2F3++%2B+b+=+23+\"$
\n" ); document.write( " $\"+3b+%2B+26+%2B+3b+=+69+\"$
\n" ); document.write( " $\"+6b+=+69+-+26+\"$
\n" ); document.write( " $\"+6b+=+43+\"$
\n" ); document.write( " $\"+b+=+43%2F6+\"$
\n" ); document.write( "Ben is 7 years and 2 months old
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+a+=+b+%2B+26%2F3+\"$
\n" ); document.write( " $\"+a+=+43%2F6+%2B+26%2F3+\"$
\n" ); document.write( " $\"+a+=+95%2F6+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+a+%2B+b+=+23+\"$
\n" ); document.write( " $\"+95%2F6+%2B+43%2F6+=+138%2F6+\"$
\n" ); document.write( " $\"+95+%2B+43+=+138+\"$
\n" ); document.write( " $\"+138+=+138+\"$ \n" ); document.write( "

\n" );