1.

Three numbers a, b and c are such that, b is twice of a and thrice of c. If the average of the three numbers is 44, the largest number is1). 242). 363). 724). 108

Answer»

Formula:

Average = (Sum of observation)/(No of observation)

 Given that, b is twice of a and thrice of c so, largest number is b. Also, the average of the three NUMBERS is 44, then

b = 2a ⇒ a = ½ b

b = 3c ⇒ c = b/3

And average of a, b, c = (a + b + c)/3 = 44----(1)

PUTTING the value of a and c in this equation, we get

Average of a, b, c = $(\FRAC{{\frac{b}{2} + b + \frac{b}{3}}}{3} = 44)$

$(\Rightarrow \frac{{11b}}{{18}} = 44)$

$(\Rightarrow {\rm{b}} = \frac{{44 \times 18}}{{11}} = 72)$


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