Question
Five consecutive even integers add up to 180. Find the
difference between the cube of the smallest and the square of the largest.Solution
ATQ,
x + (x+2) + (x+4) + (x+6) + (x+8) = 180
5x + 20 = 180
5x = 160
x = 32
Hence, Required difference = (32³ – 40²) = 32768 – 1600 = 31168
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