The sum of three numbers is 267. If the ratio of the first to second is 4:5 and that of the second to the third is 6:7, then the second number is:

40

90

98

158

Let the three parts be A, B, C. Then, A:B=4:5 and B:C=6:7 = 6×5/6:7×5/6 = 5:35/6 => A:B:C=4:5:35/6=24:30:35 => B=(267×30/89) = 90

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