Question

2. The sum of the digits of a 2-digit number is 13.
The number formed by interchanging the digits
is 45 more than the original number. Find the
original number​

Answer 1

Answer:The sum of the digits of a 2-digit number is 13.

The number formed by interchanging the digits

is 45 more than the original number. Find the

original number​

Step-by-step explanation:

Answer 2

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Let the digit at tens place be x.

Then the digit at ones place will be 13 - x.

Therefore, the original number is 10x + (13 - x).

After interchanging the digits, the number formed is 10(13 - x) + x.    [Ones place and tens place are interchanged]

A/Q,

  New number = 45 + Original number

=> 10(13 - x) + x = 45 + 10x + (13-x)

=> 130 - 10x + x = 45 +10x + 13 - x

=> 130 -9x = 58 + 9x

=> 130 - 58 = 9x + 9x

=> 72 = 18x

=> x = 72/18 = 4

Now, digit at tens place (x) = 4

Then digit at ones place is (13 - x) = 13 - 4 = 9

Therefore, the original number is 49.

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