मराठी

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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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.

बेरीज
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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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पाठ 4: Linear Equation In One Variable - Exercise [पृष्ठ ११९]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 8
पाठ 4 Linear Equation In One Variable
Exercise | Q 99. | पृष्ठ ११९

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