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There are four different numbers. The average of the first three numbers is three times the fourth number, and the average of all the four numbers is 55. What is the average of the first three numbers?

There are four different numbers. The average of the first three numbers is three times the fourth number, and the average of all the four numbers is 55. What is the average of the first three numbers? Correct Answer 66

Given:

The average of the first three numbers is three times the fourth number

Average of all the four numbers is 55

Concept used:

Average = Sum of elemnets/No. of elements

Calculation:

Let fourth number be x

Average of first 3 numbers = 3x

Sum of first 3 numbers = 3 × 3x = 9x

Total of 4 numbers = 55 × 4

⇒ 220

According to the question,

9x + x = 220 

⇒ x = 220/10 = 22 

Average of first three numbers = 3 × 22 = 66

∴ Required answer is 66

Related Questions

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