Question

4. Sum of two digits of a 2-digit number is 12. If the digits are reversed, the new number so formedincreasease by 36 Find the number​

Answer 1

Answer:

48 is the required number for the given peoblem

Answer 2

Given :

• Sum of two digits of a 2-digit number is 12.
• The digits are reversed, the new number so formed increasease by 36.

To find :

• The number =?

Step-by-step explanation :

Let the tens digit of the required number be x and the units digit be y.

Then, x + y = 12 ......(1)

Now, Required Number = (10x + y).

Number obtained on reversing the digits,

= (10y + x).

According to the question,

(10y + x) − (10x + y) = 36

9y − 9x = 36

y − x = 4 .....(2)

On adding (1) and (2), we get,

x + y + y - x = 4 + 12

2y = 16

y = 16/2

y = 8

On, putting the value of y = 8, we get,

y - x = 4

8 - x = 4

-x = 4 - 8

-x = - 4

x = 4

Therefore, We got the value of, x = 4.

Hence, the required number is 48.