Question

The average of 3 numbers is 66. The first number and 3 times number is 2 times the second number and 3 times the third number. what is the first number? ​

Answer 1

Take the 3 numbers as x, y and z.

So (x+y+z)/3 = 66

x + y + z = 198

x = 2y

x = 3z

So y = x/2, z = x/3

x + x/2 + x/3 = 198

(6x + 3x + 2x)/6 = 198

11x = 1188

x = 108

2y = 108

y = 54

3z = 108

z = 36

So the 3 numbers are 108, 54 and 36

Answer 2

Step-by-step explanation:

The three numbers are, say, a, b and c.

Their sum, a+b+c = 3x66 = 198.

a = 2b and a = 3c.

Or a+(a/2)+(a/3) = 198, or

6a+3a+2a = 198*6 = 1188, or

11a = 1188 or

a = 1188/11 = 108

b = 108/2 = 54 and c = 108/3 = 36.

So the first number is 108 and the second is 54 and the third is 36.

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