1.

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

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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