Question

Out of three numbers the first is twice the second and three times third.The average of three number is 88.The smallest number is

Answer 1

x+2x+3x/3=88
6x/3=88
6x=264
x=44

Answer 2

Given:

Out of three numbers the first is twice the second and three times third.

The average of three number is 88.

To Find:

The smallest number is

Solution:

Let the first number be x  , second number be y and third number be z

The first is twice the second

So, x=2y

$y=\frac{x}{2}$

The first is three times third.

x=3z

$z=\frac{x}{3}$

The average of three number is 88

So, $88=\frac{x+\frac{x}{2}+\frac{x}{3}}{3}\\88 \times 3 =x+\frac{x}{2}+\frac{x}{3}\\264=\frac{6x+3x+2x}{6}\\264 \times 6 = 11x\\\frac{264 \times 6}{11}=x\\144=x$

$y=\frac{x}{2}=\frac{144}{2}=72\\z=\frac{x}{3}=\frac{144}{3}=48$

Hence The smallest number is 48