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Out of three positive numbers, the ratio of the first and the second numbers is 3 : 4 that of the second and the third numbers is 5 : 6 if the product of the second and the third numbers is 4320. What is the sum of three numbers?
C)185

177
165
160
Explanation:

Ratio of 1st and 2nd numbers = 3 : 4

Ratio of 2nd and 3rd numbers = 5 : 6

Let the 2nd number = 5x, third number = 6x

Product of 2nd and 3rd numbers = 4320

5x × 6x = 4320

x2 = 144

x = 12

2nd number = 60, 3rd number = 72,

1st number = 60 /4 × 3 = 45

Sum of three numbers = 60 + 72 + 45 = 177
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C)185

Answer
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