Two numbers are in the ratio 3:2. Their LCM and HCF are 24 and 4, respectively. The greater of the two numbers is:

Correct option is B

Given:

Ratio of the number is = 3:2

LCM and HCF is =24 and 4 respectively 

Formula used:

Number1×Number2 = LCM×HCF

Solution:

Let be the number is = 3$$x$$ and $$2x$$

24×4 = 3$$x$$×$$2x$$ 

96= $$6x^2$$ 

$$x^2= \frac{96}{6}=16$$ 

$$x= \sqrt16=4$$

So the greater number is = 3×4 =12

Thus the correct answer is (B)