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1st natural number = x 2nd natural number = y (x - y)3 = 1728 (x - y) = 3√1728 = 12 … (1) squaring both sides (x - y) ² = 144 x2+y2-2xy =144 x² + y² = 144 + 216 = 360 Now, (x + y) = √ (x² + y² + 2xy) =√ (360 + 216) = √576 = 24 … (2) Now Eq (1) + Eq (2). x-y+x+y =12+24=36 2x =36 x=18 y=6 Now positive difference between the cubes= (18)3-(6)3 =5832-216 =5616.
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