document.write( "Question 552775: the sum of brads age and his fathers age is 58. in four years brads father will be twice as old as brad what are their ages now? \n" ); document.write( "

Algebra.Com's Answer #360506 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = Brad's age now
\n" ); document.write( "Let $\"+f+\"$ = Father's age now
\n" ); document.write( " $\"+b+%2B+4+\"$ = Brad's age in 4 years
\n" ); document.write( " $\"+f+%2B+4+\"$ = Father's age in 4 years
\n" ); document.write( "--------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+b+%2B+f+=+58+\"$
\n" ); document.write( "(2) $\"+f+%2B+4+=+2%2A%28+b+%2B+4+%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "(1) $\"+b+=+58+-+f+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+f+%2B+4+=+2%2A%28+58+-+f+%2B+4+%29+\"$
\n" ); document.write( "(2) $\"+f+%2B+4+=+116+-+2f+%2B+8+\"$
\n" ); document.write( "(2) $\"+3f+=+116+%2B+8+-+4+\"$
\n" ); document.write( "(2) $\"+3f+=+120+\"$
\n" ); document.write( "(2) $\"+f+=+40+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+b+%2B+f+=+58+\"$
\n" ); document.write( "(1) $\"+b+%2B+40+=+58+\"$
\n" ); document.write( "(1) $\"+b+=+18+\"$
\n" ); document.write( "Brad is 18 and Father is 40
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+f+%2B+4+=+2%2A%28+b+%2B+4+%29+\"$
\n" ); document.write( "(2) $\"+40+%2B+4+=+2%2A%28+18+%2B+4+%29+\"$
\n" ); document.write( "(2) $\"+44+=+2%2A22+\"$
\n" ); document.write( "(2) $\"+44+=+44+\"$
\n" ); document.write( "OK \n" ); document.write( "

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