document.write( "Question 205841: Mary's age and Bob's age are in the ration 3:2. Eight years later, the ratio of their ages will be 4:3. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #155493 by ankor@dixie-net.com(22740)\"\" \"About 
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m = Mary's age; b = Bob's age
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\n" ); document.write( "Mary's age and Bob's age are in the ration 3:2.
\n" ); document.write( "\"m%2Fb\" = \"3%2F2\"
\n" ); document.write( "cross multiply
\n" ); document.write( "2m = 3b
\n" ); document.write( "m = \"3%2F2\"b
\n" ); document.write( "or
\n" ); document.write( "m = 1.5b
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\n" ); document.write( " Eight years later, the ratio of their ages will be 4:3.
\n" ); document.write( "\"%28m%2B8%29%2F%28b%2B8%29\" = \"4%2F3\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "3(m+8) = 4(b+8)
\n" ); document.write( "3m + 24 = 4b + 32
\n" ); document.write( "3m = 4b + 32 - 24
\n" ); document.write( "3m = 4b + 8
\n" ); document.write( ":
\n" ); document.write( " Find their present ages.
\n" ); document.write( "Replace m with 1.5b in the above equation
\n" ); document.write( "3(1.5b) = 4b + 8
\n" ); document.write( "4.5b = 4b + 8
\n" ); document.write( "4.5b - 4b = 8
\n" ); document.write( ".5b = 8
\n" ); document.write( "b = \"8%2F.5\"
\n" ); document.write( "b = 16 yr is Bob's present age
\n" ); document.write( "then
\n" ); document.write( "m = 1.5(16)
\n" ); document.write( "m = 24 yrs is Mary's present age
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 8 yr equation
\n" ); document.write( "\"32%2F24\" = \"4%2F3\"
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