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If the average of five consecutive even numbers is 38, what is the difference between the square of the largest and the smallest?1). 4842). 5763). 6084). 712 |
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Answer» Let the five consecutive EVEN numbers be X, X + 2, X + 4, X + 6, X + 8 Given the average of these numbers = 38 ⇒ COMBINED Sum of the all the five consecutive even numbers = (Average) × (Total no. of numbers) ⇒ X + (X + 2) + (X + 4) + (X + 6) + (X + 8) = (38 × 5) ⇒ 5X + 20 = 190 ⇒ 5X = 190 – 20 = 170 ⇒ X = 170/5 = 34 So the LARGEST number = 34 + 8 = 42 and Smallest number = 34 ∴ Difference between their squares = 422 – 342 = 1764 – 1156 = 608 |
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