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Question
The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.
Options:
A .  44
B .  55
C .  66
D .  77
Answer: Option B
LET THE NUMBERS BE A, B AND C. A+B+C = 172 A:B = 8:11 B:C = 5:7 11A = 8B A = 8B/11 7B = 5C C = 7B/5 (8B/11)+B+(7B/5) = 172 40B+55B+77B = 172*55 172B = 172*55 B=55

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