Question

In a two digit number. the unit digit is thrice the tens digit. if 36

is added to the number, the digits interchange their place. find the number​

Answer 1

Explanation:

answer: the original number is 62.

Given :

Units digits is thrice the tens digit

The digits interchange when - 36 is added

To find :

The number

Solution :

✯

Let the digits be -

Units place as 3y

Tens place as 10(y)

⇒ 10(y) + 3y

⇒ 10y + 3y

⇒ 13y --------- (Orignal Number)

✯

Let the digits be -

Units place as y

Tens place as 10(3y)

⇒ 10(3y) + y

⇒ 30y + y

⇒ 31y --------- (Number with reversed digits)

✯

The number gets reversed when 36 is added to it.

⇒ 13y + 36 = 31y

⇒ 13y - 31y = - 36

⇒ 18y = 36

⇒ y = 36/18

⇒ y = 2

✯

⇒ 13y

⇒ 13(2)

⇒ 26

✯

The units place should be thrice of the tens place,

⇒ 2 × 3 = 6

Units place is 6

Reversed digits are 62,

⇒ 26 + 36 = 62

⇒ 62 = 62

The Orignal Number is 62.