Question 143

The sum of three consecutive odd numbers is 1383. What is the largest number?

Solution

Let the three consecutive odd numbers are = $$x , (x + 2) , (x + 4)$$

Acc to ques,

=> $$x + (x + 2) + (x + 4) = 1383$$

=> $$3x = 1383 - 6$$

=> $$x = \frac{1377}{3} = 459$$

$$\therefore$$ Largest number = $$x + 4$$ = 459 + 4 = 463

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