document.write( "Question 484383: Ten years ago A was half of B's Age. If ratio of their present ages is 3:4 then what is the total of their persent ages?
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Algebra.Com's Answer #331432 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Ten years ago A was half of B's Age.
\n" ); document.write( "a - 10 = .5(b-10)
\n" ); document.write( "a - 10 = .5b - 5
\n" ); document.write( "a = .5b - 5 + 10
\n" ); document.write( "a = .5b + 5
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\n" ); document.write( " If ratio of their present ages is 3:4 then what is the total of their present ages?
\n" ); document.write( " $\"a%2Fb\"$ = $\"3%2F4\"$
\n" ); document.write( "4a = 3b
\n" ); document.write( "Replace a with (.5b+5) from the 1st statement
\n" ); document.write( "4(.5b + 5) = 3b
\n" ); document.write( "2b + 20 = 3b
\n" ); document.write( "20 = 3b - 2b
\n" ); document.write( "b = 20 yrs is B's present age
\n" ); document.write( "then
\n" ); document.write( "a = .5(20) + 5
\n" ); document.write( "a = 15 yrs is A's present age
\n" ); document.write( "and
\n" ); document.write( "20 + 15 = 35 yrs is the total of their present ages
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