Of the three numbers, second is one-third of first and is also three-fourth of the third number. If the average of three numbers is 112, then what is the smallest number?

63

Sum of three numbers = 112 x 3 = 336

Lets assume 2nd number be 3a

Given, 1st number x \(\frac{1}{3}\) = 3a

⇒ 1st number = 9a

3rd number x \(\frac{3}{4}\) = 3a

⇒ 3rd number = 4a

Now,

9a + 3a + 4a = 336

⇒ a = 21

Smallest among three = 3 x 21 = 63