# SOLUTION: 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.

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 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.Answer by ankor@dixie-net.com(16524)   (Show Source): You can put this solution on YOUR website!m = Mary's age; b = Bob's age : Mary's age and Bob's age are in the ration 3:2. = cross multiply 2m = 3b m = b or m = 1.5b : Eight years later, the ratio of their ages will be 4:3. = Cross multiply 3(m+8) = 4(b+8) 3m + 24 = 4b + 32 3m = 4b + 32 - 24 3m = 4b + 8 : Find their present ages. Replace m with 1.5b in the above equation 3(1.5b) = 4b + 8 4.5b = 4b + 8 4.5b - 4b = 8 .5b = 8 b = b = 16 yr is Bob's present age then m = 1.5(16) m = 24 yrs is Mary's present age ; : Check solution in the 8 yr equation =