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in Mathematics by (15 points)
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In a two-digit number, digit in units place is twice the digit in tens place, if 27 is added to it, digits are reversed. Find the number.

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1 Answer

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Let ten's digit = x  

Unit's digit = 2x

Required Number = 10x + 2x = 12x

On Interchanging the Digit's Number = 10 (2x) + x = 21x

According to The Question

⇒ 12x + 27 = 21x

⇒ 27 = 21x - 12x

⇒ 27 = 9x

⇒ 27/9 = x

⇒ 3 = x

Required Number = 12 × 3 = 36

Hence, the number​ required number is 36.

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