Question

The sum of three numbers is 254. If the ratio of the first to the second is 4:5 and that of second to the third is 8:11 then the second number is? 

A 70 Correct Answer Incorrect Answer
B 64 Correct Answer Incorrect Answer
C 45 Correct Answer Incorrect Answer
D 80 Correct Answer Incorrect Answer

Solution

Let the three numbers be A, B and C. Now, A:B = 4:5 & B:C = 8:11 A: B: C = 32:40:55 A+B+C = 254 32k + 40k + 55k = 254 127k = 254 k = 2 Second number = B = 40 x 2 = 80

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