Question

the sum of the digits of a two-digit number is 12. If the new number formed by reversing the digits is greater than the original number by 54, find the original number. Check your solution.
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Answer 1

Answer:

It is also given that the new number formed by reversing the digits is greater than the original number by 54. We have assumed the number is 10x +y. On putting the value of x and y we get 10(3) + 9 =39. Hence the number is 39.

Step-by-step explanation:

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Answer 2

Answer:

39

Step-by-step explanation:

Let the original number be 10x + y.

No. formed after reversing digits = 10y + x.

A.T.Q.

10x + y + 54 = 10y + x

10x - x + 54 = 10y - y

9x + 54 = 9y

x + 6 = y

Since, x + y = 12

x + x + 6 = 12

2x = 6

x = 3

Therefore, the number is 39.

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