document.write( "Question 483494: The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many years will the ages be in the ratio 8:7? \n" ); document.write( "

Algebra.Com's Answer #330924 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The ages of two friends is in the ratio 6:5.
\n" ); document.write( " The sum of their ages is 66.
\n" ); document.write( ":
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "6x + 5x = 66
\n" ); document.write( "11x = 66
\n" ); document.write( "x = 66/11
\n" ); document.write( "x = 6 is the multiplier
\n" ); document.write( "then the ages of the friends will be:
\n" ); document.write( "6(6) = 36 yrs
\n" ); document.write( " and
\n" ); document.write( "6(5) = 30 yrs old
\n" ); document.write( ":
\n" ); document.write( "After how many years will the ages be in the ratio 8:7?
\n" ); document.write( "let y = no. of yrs for this to be true
\n" ); document.write( " $\"%2836%2By%29%2F%2830%2By%29\"$ = $\"8%2F7\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "8(30+y) = 7(36+y)
\n" ); document.write( "240 + 8y = 252 + 7y
\n" ); document.write( "8y - 7y = 252 - 240
\n" ); document.write( "y = 12 yrs for their ratio to be 8:7
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, in 12 yrs
\n" ); document.write( "48:42 = 8:7 \n" ); document.write( "

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