Question

in a two digit number the unit number is twice the tens digit.If 27 is added to the number the digit interchange their places.Find the number.

Answer 1

Answer:

Step-by-step explanation:

Let the unit digit number be 2x

And the tens digit be x

The no. Is 10(x)+(2x) = 12x

Interchanged no. Is 10(2x)+x = 21x

ATQ

12x + 27 = 21x

27 = 21x - 12x

27 = 9x

X = 27/9

X = 3

The no. Is 10(x) + 2(x)

= 10(3)+2(3)

= 30 + 6

= 36

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the ten’s place digit be x.

And the unit’s place digit be 2x.

Number = 10x + 2x = 12x

Interchanged Number = 10(2x) + x = 21x                          

According to the Question,

⇒ 12x + 27 = 21x

⇒ 27 = 21x – 12x

⇒ 27 = 9x

⇒ x = 27 /9

⇒ x = 3

Number = 12 × 13 = 36

Hence, the required number is 36.