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प्रश्न
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.
उत्तर
Let ten’s digit of two-digit number be x.
Then unit’s digit = 2x
∴ Number = 10 × x + 2x
= 10x + 2x
= 12x
On reversing the digits,
New number = 10 × (2x) + x
= 20x + x
= 21x
12x + 27 = 21x
⇒ 21x – 12x = 27
⇒ 9x = 27
⇒ x = 3
Hence, the required number is 12 × 3, i.e. 36.
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