Question

sum of a two digit number is 9 when the digits are inter changed the new number is greater than the number by 9 find the original number​

Answer 1

Answer:

x + y =9

is the equation .

ok ok ok

Answer 2

Answer:

Given :

Sum of digits of two digit number is 9.

When the digits are interchanged the new number is greater than the original number by 9.

To Find :

The original number.

Solution :

Let the digit at the tens place be x.

Let the digit at the units place be y.

Original Number = (10x + y)

Case 1 :

The sum of tens digit and units digit is 9.

Equation :

 

Case 2 :

When the digits of the two digit number are interchanged, the new number is greater than original number by 9.

Reversed Number = (10y +x)

Equation :

Substitute, y = 5 in equation (1),

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