Two numbers are in the ratio 7 : 11. If their L.C.M. is 308. what is sum of the numbers?

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13 Sep 2019 LCM

Two numbers are in the ratio 7 : 11. If their L.C.M. is 308. what is sum of the numbers?

OPtion

1) 110
2) 78
3) 66
4) 64
5) 63
6) 68
7) 72
8) 60
9) 82
10) None of these

Solution

"Let the numbers be 7x and 11x
LCM of 7x and 11x is 77x

So as per question 77x = 308
=> x= 4

7x = 7*4 = 28 and 11x = 11*4 = 44

Sum of the numbers = 28+44 = 72

Correct Option: 7 Best Solution (3)