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  1. Of the three numbers, first is twice the second and second is twice the third. The average of three numbers is 21. The smallest of the three numbers is
    1. 9
    2. 6
    3. 12
    4. 18
Correct Option: A

Let the third number be n.
∴ The second number = 2n
and the third number = 2 × 2n = 4n

According to the question,
4n + 2n + n
= 21
3

⇒ 7n = 21 × 3
⇒ n =
21 × 3
= 9
7

Second method to solve this question :
a = 2, b = 2, y = 21
First number =
3ab
y
1 + b + ab

First number =
3 × 2 × 2
× 21
1 + 2 + 4

First number =
12
× 21 = 36
7

Second number =
3b
y
1 + a + ab

Second number =
3 × 2
× 21 = 18
7

Third number =
3
y
1 + a + ab

Third number =
3
× 21 = 9
7



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