Question

The average of 41 consecutive odd numbers is 49. What is the largest number.

A) 89 B) 91 C) 93 D) 95

Answer 1

Answer:

CORRECT OPTION IS A) 89

Step-by-step explanation:

Let x is first odd number

Then, x , x + 2, x + 4, x + 6, x + 8, ........... x + 2 × (41 - 1)

e.g., 41 consecutive odd numbers are : x , x + 2, x + 4, x + 6, ........... x + 80

now, sum of 41 consecutive odd numbers = (x + x + 2 + x + 4 + x + 6 + ..... + x + 80)

= 41x + (2 + 4 + 6 + 8 + 10 + 12 + ..... + 80)

= 41x + 40/2(2 + 80)

= 41x + 20 × 82

= 41x + 1640

Now, average of 41 consecutive odd numbers = sum of observations/total number of observations

49 = (41x + 1640)/41

49 = x + 40

x = 9

Hence, largest odd number = x + 80 = 89

Answer 2

Answer:

your answer is option A(89)

Step-by-step explanation:

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