Question

The difference between a two digit number and the number obtained by reversing the digits is 36Also, the sum of digits is 10. Find the number.​

Answer 1

Answer:

Annyong army manasaeyo bangap sumnida

Answer 2

Answer:

Given -:

The difference between a two digit number and the number obtained by reversing the digits is 36Also, the sum of digits is 10. Find the number.

To find -:

The number.

Solution -:

• Let the digit in tens place = x
• Let the digit in ones place = y

According to the question,the sum of digits is 10.

• Equation 1 -:

x + y = 10

x = 10 - y

In order to ensure the correct value is given to EACH digit, we need to identify the original number as -:

• (10digit on tens place + digit on ones place )
• (10x + y )

and the "swapped digits" number as (10y + x ).

We are asked to find the number -:

Now difference is 36.

• (10+y)-(10y-x) = 36
• 10x-x+y-10y = 36
• 9x - 9y = 36
• 9(x-y) = 36
• x - y = 36/9
• x - y = 4

Now,we get -:

x - y = 4.

We know that x = 10-y

• x - y = 4
• 10-y-y = 4
• 10 - 2y = 4
• -2y = 4 - 10
• - 2y = -6
• y = 6/2
• y = 3

Now,the value of y is 3.

Now we have to find the value of x.

• x = 10 - y
• x = 10 -3
• x = 7

Original number is 10x + y .

• 10 × 3 + 7
• 30 + 7
• 37

Thus,the original number is 37.