Question

the sum of two digit no is 12 if 18 is added to it digits are reversed find the no​

Answer 1

Question:

The sum of the digits of two digit number is 12. If 18 is added to it , the digits reversed . Find the number .

Concept:

Here, to solve the given query we have to consider a number in the form of x and y and according to the question we will make an equation . Since it is two digits problem so two variables are required to obtain the required Value. So let's do it .

Full Solution with Explaination:

Let,

• the unit place be x

• the tenth place be y

[ As per the given query said that the sum of two digits ( which our know it's x and y ) is 12 ]

Now, According to the question,

The equation will be,

x + y = 12 ..........( equation 1 )

So ,

• the original number is x + 10y

• the reverse number is 10x + y

[ Now as per as the problem said that 18 is added to it ]

According to the question,

⇢ x + 10y + 18 = 10x + y

⇢ 10y + 18 = 10x + y - x

⇢ 10y - y + 18 = 10x - x

⇢ 9y + 18 = 9x

⇢ 18 = 9x - 9y

⇢ 18 = 9 (x - y)

⇢ 18 / 9 = x - y

⇢ x - y = 18 ..........( equation 2 )

Adding equation 1 & 2 ,

⇢ x + y + x - y = 12 + 2

⇢ x + x + y - y = 14

⇢ 2x = 14

⇢ x = 14/2

⇢ x = 7

So, the obtained values of x and y is 5 and 7 respectively.

Therefore,

The required number is 57.

Happy Learning!!!