Sum of squares of three consecutive numbers is 1877. Find the sum of first and third number.
Let the numbers be (x – 1), x and (x + 1) => (x – 1)2 + x2 + (x + 1)2 = 1877 => x2 – 2x + 1 + x2 + x2 + 2x + 1 = 1877 => 3x2 = 1877 - 2 => x2 = 1875/3 => x2 = 625 => x = 25 Required sum = (25 – 1) + (25 + 1) = 50
1/5 of a rod is coloured red, 1/10 orange, 1/15 yellow, 1/20 green, 1/25 blue, 1/30 black and the rest is violet. If the length of the violet portion of...
Sum of squares of three consecutive numbers is 1877. Find the sum of first and third number.
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