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The sum of the three consecutive even numbers is 44 more than the average of these numbers. Which of the following is the third largest of these numbers?
Answer & Solution
Correct Answer:
Option
C
Let the numbers be x, x + 2 and x + 4
Then,
⇒ (x + x + 2 + x + 4) - $$\frac{(x + x + 2 + x + 4)}{3}$$ = 44
⇒ (3x + 6) - $$\frac{(3x + 6)}{3}$$ = 44
⇒ 2 (3x + 6) = 132
⇒ 6x = 120
⇒ x = 20
∴ Largest number = x + 4 = 24
Then,
⇒ (x + x + 2 + x + 4) - $$\frac{(x + x + 2 + x + 4)}{3}$$ = 44
⇒ (3x + 6) - $$\frac{(3x + 6)}{3}$$ = 44
⇒ 2 (3x + 6) = 132
⇒ 6x = 120
⇒ x = 20
∴ Largest number = x + 4 = 24
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