Question

solve it on copy...........

Answer 1

Since the middle number of the three consecutive numbers is x, the other two numbers are x -1 and x +1.
According to the given condition, we have
    x² = [(x +1)² -(x -1)²] +60
=> x² = (x² +2x +1) -(x² -2x +1) +60 = 4x +60
=> x² -4x -60 = 0 => (x -10)(x +6) = 0
=> x = 10 or -6
Since x is a natural number, we get x = 10
Hence the three numbers are 9, 10, 11