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The number is 54. Here's how: If X exceeds Y by 20% then X = 1.2*Y, To designate a reversed number, let X = A*10 + B, and Y = B*10 + A. So: A*10 + B = 1.2*(B*10 + A). Rearranging, we have 8.8*A = 11*B, and divide both sides by 1.1, we have 8*A = 10*B. So the only two integer values which satisfy this are A=5, and B=4.

Plug this in and X = 54, Y = 45. Now verify: X/Y should equal 1.2: 54/45 = 6/5 which is 1.2.

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