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The average of five consecutive odd num,bers is 59.What is the five odd numbers?

Sagot :

KallesEliasidn

Problem:

The average of five consecutive odd numbers 59. What are the five numbers

Solution:

because its consecutive odd integers, add each increase by 2

let the 1st number = x

2nd number = x + 2

3rd number = x + 2 + 2 = x + 4

4th number = x + 2 + 2 + 2 = x + 6

5th number = x + 2 + 2 + 2 + 2 = x + 8

[tex]\[\begin{array}{l}average = \frac{{(x) + (x + 2) + (x + 4) + (x + 6) + (x + 8)}}{5}\\\\59 = \frac{{5x + 20}}{5}\\\\295 = 5x + 20\\\\5x = 295 - 20\\\\5x = 275\\\\x = 55\end{array}\][/tex]

1st number = 55

2nd number = 55 + 2 = 57

3rd number = 55 + 4 = 59

4th number = 55 + 6 = 61

5th number = 55 + 8 = 63

Checking:

[tex]\[\begin{array}{l}59 = \frac{{(55) + (55 + 2) + (55 + 4) + (55 + 6) + (55 + 8)}}{5}\\\\59 = \frac{{55 + 57 + 59 + 61 + 63}}{5}\\\\59 = \frac{{295}}{5}\\\\59 = 59;ok\end{array}\][/tex]

Answer:

The five numbers are 55, 57, 59, 61 and 63

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