document.write( "Question 774524: The ages of A and B are in the ratio 5:3. After 6 years, their will be in the ratio 7:5. Then the present age of A is \n" ); document.write( "

Algebra.Com's Answer #472297 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The ages of A and B are in the ratio 5:3.
\n" ); document.write( "Let x = the multiplier, then
\n" ); document.write( "5x = A's age
\n" ); document.write( "and
\n" ); document.write( "3x = B's age
\n" ); document.write( ":
\n" ); document.write( " After 6 years, their will be in the ratio 7:5.
\n" ); document.write( " $\"%285x%2B6%29%2F%283x%2B6%29\"$ = $\"7%2F5\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "5(5x+6) = 7(3x+6)
\n" ); document.write( "25x + 30 = 21x + 42
\n" ); document.write( "25x - 21x = 42 - 30
\n" ); document.write( "4x = 12
\n" ); document.write( "x = 12/4
\n" ); document.write( "x = 3 is the multiplier
\n" ); document.write( ":
\n" ); document.write( "Then the present age of A is: 5*3 = 15 yrs \n" ); document.write( "

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