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)![]() ![]() You can put this solution on YOUR website! m = Mary's age; b = Bob's age \n" ); document.write( ": \n" ); document.write( "Mary's age and Bob's age are in the ration 3:2. \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "2m = 3b \n" ); document.write( "m = \n" ); document.write( "or \n" ); document.write( "m = 1.5b \n" ); document.write( ": \n" ); document.write( " Eight years later, the ratio of their ages will be 4:3. \n" ); document.write( " \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 = \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( " |