Question:The sum of three numbers is 174. The ratio of second number to the third number is 9 : 16 and the ratio of first number to the third one is 1 : 4. The second number is : 

A 24 
B 54 
C 96 
D can not be determind 

+ Answer
D 

+ Explanation
A` = 1/2 (B + c) => B + C = 2A => A + B + c = 3A`

B` = 1/2 ( A + C) => 4B = A + C => A + B + C = 5B`

`:. 3A = 56250 and 5B = 56250 => A = 18750 and B = 11250`

`:. A - B = (18750 - 11250) = 7500.`

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Irin Moni

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