document.write( "Question 721268: Ben is seven more than two times as old as Henry. In 13 years the sum of their ages will be 78. How old is Ben now? \n" ); document.write( "

Algebra.Com's Answer #442295 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = Ben's age now
\n" ); document.write( "Let $\"+h+\"$ = Henry's age now
\n" ); document.write( " $\"+b+%2B+13+\"$ = Ben's age in 13 yrs
\n" ); document.write( " $\"+h+%2B+13+\"$ = Henry's age in 13 yrs
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+b+=+2h+%2B+7+\"$
\n" ); document.write( "(2) $\"+%28+b+%2B+13+%29+%2B+%28+h+%2B+13+%29+=+78+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+b+%2B+h+%2B+26+=+78+\"$
\n" ); document.write( "(2) $\"+b+%2B+h+=+52+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+-+2h+=+7+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) $\"+b+%2B+h+=+52+\"$
\n" ); document.write( "(1) $\"+-b+%2B+2h+=+-7+\"$
\n" ); document.write( " $\"+3h+=+45+\"$
\n" ); document.write( " $\"+h+=+15+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+b+=+2h+%2B+7+\"$
\n" ); document.write( "(1) $\"+b+=+2%2A15+%2B+7+\"$
\n" ); document.write( "(1) $\"+b+=+37+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Ben is 37 now
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+%28+b+%2B+13+%29+%2B+%28+h+%2B+13+%29+=+78+\"$
\n" ); document.write( "(2) $\"+%28+37+%2B+13+%29+%2B+%28+15+%2B+13+%29+=+78+\"$
\n" ); document.write( "(2) $\"+50+%2B+28+=+78+\"$
\n" ); document.write( "(2) $\"+78+=+78+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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