Out of three positive numbers the ratio of the first and the second numbers is 3 4 that of the seco...........

Quant (SSC) Ratio, Proportion

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?

177

165

185

160

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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 x 3 = 45
Sum of three numbers = 60 + 72 + 45 = 177