document.write( "Question 1007748: Eighteen years ago the ratio of As age to B s age was 8:13. Their present ratios are 5:7. What is the present age of A? \n" ); document.write( "
Algebra.Com's Answer #623594 by ankor@dixie-net.com(22740)\"\" \"About 
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Eighteen years ago the ratio of As age to B s age was 8:13.
\n" ); document.write( " Their present ratios are 5:7. What is the present age of A?
\n" ); document.write( ":
\n" ); document.write( "let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "5x = A's present age
\n" ); document.write( "and
\n" ); document.write( "7x = B's present age
\n" ); document.write( ":
\n" ); document.write( "18 years ago:
\n" ); document.write( "\"%28%285x-18%29%29%2F%28%287x-18%29%29\" = \"8%2F13\"
\n" ); document.write( "cross multiply
\n" ); document.write( "13(5x-18) = 8(7x-18)
\n" ); document.write( "65x - 234 = 56x - 144
\n" ); document.write( "65x - 56x = -144 + 234
\n" ); document.write( "9x = 90
\n" ); document.write( "x = 90/9
\n" ); document.write( "x = 10 is the multiplier
\n" ); document.write( "then
\n" ); document.write( "A = 5(10)
\n" ); document.write( "A = 50 yrs old now
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this solution, find B's age; 10*7 = 70yrs old
\n" ); document.write( "\"%28%2850-18%29%29%2F%28%2870-18%29%29\" = \"32%2F52\" = \"8%2F13\"
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