The average of 44 consecutive odd numbers is 144. What is the largest number?

Answer: Option C

Let the number is x, x + 2, x + 4, . . . . . . x + 86
Total value of 44 number is = 44x + 2 + 4 + . . . . . . 86
Value of 2 + 4 + 6 + . . . . . . 86
= 2(1 + 2 + 3 . . . . . . + 43)
= $$2\left(\frac{n\times \left(n+1\right)}{2}\right)$$
= 43 × 44
= 1892
According to the question,
1892 + 44x = 144 × 44
44x = 144 × 44 - 1892
x = $$\frac{44\left(144-43\right)}{44}$$
x = 101
Largest number = 101 + 86 = 187