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Of the 3 numbers whose average is 22, the first is 3/8th the sum of other two. What is the first number?

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Of the 3 numbers whose average is 22, the first is 3/8th the sum of other two. What is the first number?
1). 16
2). 20
3). 22
4). 18


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Answered by on | Votes 2 |

Let the three number are x, y and z

Given x = [3(y + z)] /8

⇒ y + z = 8x/3

Now as given average of three numbers is 22,

⇒ x + y + z = 66

⇒ x + 8x/3 = 66

⇒ 11x = 198

⇒ x = 18

∴ First number is 18.

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