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A number consists of two digits who sum is 9. if 27 is added to the number, it's digits are reversed. find the number?
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A number consists of two digits who sum is 9. if 27 is added to the nu...



Analysis:
The number consists of two digits whose sum is 9. Let's assume the digits are x and y, where x is in the tens place and y is in the units place. So, we have x + y = 9.
When 27 is added to the number, its digits are reversed. This means that the new number will be 10y + x.

Solution:

Step 1: Determine the digits:
From x + y = 9, we can find that the possible values for x and y are 4 and 5 respectively (since 4 + 5 = 9).

Step 2: Find the original number:
The original number is 10x + y = 10*4 + 5 = 45.

Step 3: Add 27 to the original number:
45 + 27 = 72

Step 4: Check if the digits are reversed:
The digits of 72 are 7 and 2, which are the reverse of the original number 45. Therefore, the number is 45.
Therefore, the number is 45.

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A number consists of two digits who sum is 9. if 27 is added to the number, it's digits are reversed. find the number?
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