if a,b and c represent three positive numbers such that a:b:c=2:3:4. if their average is 36, what are the numbers?

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if a,b and c represent three positive numbers such that a:b:c=2:3:4. if their average is 36, what are the numbers?​

Answer:

a= 8 b= 12 c= 16

or

8:12:16

Solution:

First, add.

2 + 3 + 4 = 9

Then, divide.

36 ÷ 9 = 4

Then, multiply (by ratio)

(a=) 4 × 2 = 8

(b=) 4 × 3 = 12

(c=) 4 × 4 = 16

Checking:

8 + 12 = 20 + 16 = 36

Therefore, the answer is 8:12:16

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