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In a two digit number, the ratio of the digits at the units place and tens place is 3:2. If the digits are reversed, the resulting number is 27 more than

the original. Assuming the digit at the units place to be x, obtain an equation. Also find the number.

Units place=x tens place= 2/3 x number value= 10* 2/3 x + x =23/3 x reverse number value= 10x + 2/3x = 32/3 x 32/3x -23/3x =27 3x=27 x=9 The number is 69