Question

In two digits number digit in unit place is twice the digitsin tens place . If 27 is added to it digits are reversed . Find the number

Answer 1

Step-by-step explanation:

Given :-

In a two digit number digit in units place is twice the digit in the tens place.

If 27 is added to its digits are reversed.

Solution :-

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.