Question

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?
A. 167
B. 177
C. 187
D. 197
E. None of these

Answer 1

5x * 6x = 4320

30x² = 4320

x² = 144

x = 12

Second and third  = 5*12 = 60 and  6*12 = 72

Ist and 2nd numbers = 3*a : 4*a

3*a : 72

3*a : 4*18

3*18= 54 and 72

Sum of numbers = 54 + 72 + 60 = 186

None of these