Question

The sum of two digits of a two digit of a two digit number is 9. If 45 is added to the number the digits get reversed identify the number


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Answer 1

Answer:

The number is 27

Step-by-step explanation:

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

According to the question, x + y = 9       ------------------ 1

                                            10y + x + 45 = 10x + y

                                            9x - 9y = 45 ----------------- 2

We will multiply equation 1 by 9

9x + 9y = 81    ------------------- 3

Now add equation 2 and 3

18 x = 126

x = 7

Now we will substitute this value of x in equation 1

7 + y = 9

y = 2, x = 7

This means the number is 27.