The answer is 27.

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let y - tens digit number let x - unit digit number

x*y=14 - first equation y = 14/x

10y + x + 45 = 10x + y - second equation 10x -x - 10y + y = 45 9x - 9y = 45 divide equation by 9 x - y = 5 subtitute value of y x - 14/x = 5 multiply equation by x x^2 -5x - 14 = 0 (x-7)(x+2) = 0 so,, x = 7 y = 14/7 = 2 so the number is 27