Question
The sum of five consecutive even integers is 90. Determine
(cube of the smallest) minus (square of the largest).Solution
ATQ,
x + (x+2) + (x+4) + (x+6) + (x+8) = 90
5x + 20 = 90
5x = 70
x = 14
Hence, Required difference = (14³ – 22²) = 2744 – 484 = 2260
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