Two numbers are in ratio 2 : 7 and their L.C.M. is 182. The greater n…

The correct answer is Option (2) → 91

Let the two numbers be 2x and 7x.

Since 2 and 7 are coprime,

$\text{LCM} = 2 \times 7 \times x = 14x$

Given:

$14x = 182 \Rightarrow x = 13$

So the numbers are:

$2x = 26,\quad 7x = 91$

The greater number is 91