Question 23

# Three numbers are given in which the second is triple the first and is also double the third. If the average of the three numbers is 66, find the first number.

Solution

Let the second number = x

Second number is triple the first.

Therefore

First nubmer = $$\frac{second number}{3}$$ = $$\frac{x}{3}$$

Second is double the third means,

Third number =$$\frac{second number}{2}$$ = $$\frac{x}{2}$$

Average of three numbers = 66

( $$\frac{x}{3}$$ + x + $$\frac{x}{2}$$ ) / 3= 66

Find the LCM of 2 and 3 = 6

x = 108

second number = 108

First number =$$\frac{x}{3}$$ = 36