document.write( "Question 873206: if the avg age of man and his twin sons born on the same day is 30 yr. ratio of the ages of father to one of his sons is 5:2. Whay is fathers age \n" ); document.write( "

Algebra.Com's Answer #526884 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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the avg age of man and his twin sons born on the same day is 30 yr.
\n" ); document.write( " ratio of the ages of father to one of his sons is 5:2
\n" ); document.write( ". What is fathers age
\n" ); document.write( ":
\n" ); document.write( "Let f = father's age
\n" ); document.write( "Let s = son's age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"the avg age of man and his twin sons born on the same day is 30 yr.\"
\n" ); document.write( " $\"%28f%2B2s%29%2F3+\"$ = 30
\n" ); document.write( "multiply both sides by 3
\n" ); document.write( "f + 2s = 90
\n" ); document.write( "f = (90-2s); use this form for substitution
\n" ); document.write( ":
\n" ); document.write( "ratio of the ages of father to one of his sons is 5:2.
\n" ); document.write( " $\"f%2Fs\"$ = $\"5%2F2\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "5s = 2f
\n" ); document.write( "Replace f with (90-2s)
\n" ); document.write( "5s = 2(90-2s)
\n" ); document.write( "5s = 180 - 4s
\n" ); document.write( "5s + 4s = 180
\n" ); document.write( "9s = 180
\n" ); document.write( "s = 180/9
\n" ); document.write( "s = 20 yrs is the age of the twins now
\n" ); document.write( "then
\n" ); document.write( "90 - 2(40) = 50 yrs is the father's age now
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "you can check these solutions in both statements.
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