Question

the sum of any two digit number and the number obtained and by reversing the digit is 77 if the digits differ by 3 find the number​

Answer 1

Answer:

Step-by-step explanation:In the above Question , the following information is given -

The sum of two digits number and the number obtained by reversing the digits is 77 .

The differences of the digits of the number is 3 .

To find -

Find the required number .

Solution -

Here , the two following conditions is given -

Condition 1 -

The sum of two digits number and the number obtained by reversing the digits is 77 .

Condition 2 -

The differences of the digits of the number is 3 .

Now , let us assume that the required number is xy.

So , the reversed number becomes yx .

number xy -

=> 10x + y

Number yx -

=> 10y + x

The sum of two digits number and the number obtained by reversing the digits is 77 .

So ,

10x + y + x + 10 y = 77

=> 11x + 11y = 77

=> x + y = 7 ...... Equation 1 .

According to the second condition -

The differences of the digits of the number is 3 .

So ,

x - y = 3 ......... Equation 2

Adding equation 1 and equation 2

=> 2x = 10

=> x = 5

=> y = 7 .

Thus , the required number is 57 .

This is the answer