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pogonyaev
3 years ago
9

sum of the digits of a two digit number is 9.When we interchange the digits, it is found that the resulting new number is greate

r than the original number by 27. What is the two digit number?
Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

The 2 digit number is 36.

Step-by-step explanation:

Let the 2 digits be x and y . The 2 digit number is xy.

x + y = 9........(1)

The old number can be written as  10x + y and the new number as 10y + x.

10y + x = 10x + y + 27

9x - 9y = - 27

x - y = -3 ......(2)

Adding (1) and (2) we get:

2x = 6

x = 3

and therefore y = 9-3 = 6.

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3 years ago
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2 years ago
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