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Question
8 years ago, the ratio of A's age to B's age was 4 :5 At present the ratio of B's age and C's age is 4 : 5 At present , the difference between A's age and C's age is 20 years, then what is the sum of the ages of A, B and C?
138 years
164 years
148 years
152 years
ANSWER : 3
Descrption
<pre> A:B = 4 :5 [8 years ago] = 32:40 [multiplying by 12] = 32 + 8:40 + 8 [present] = 40 :48 B:C = 4 : 5 = 48 : 60 [multiplying by 12] ∴ A :B :C = 40 : 48 : 60 The sum of the ages of A,B and C = 40 + 48 + 60 = 148 years </pre>
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