sum of the digits of a two digit number is 12. the given number exceeds the number obtained by interchanging the digits by 36.find the given number.

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Asked 8/7/2010 6:05:14 AM

Updated 98 days ago|11/25/2023 12:56:59 PM

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Question

Asked 8/7/2010 6:05:14 AM

Updated 98 days ago|11/25/2023 12:56:59 PM

2 Answers/Comments

This conversation has been flagged as incorrect.

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3

10A + B) - (10B + A) = 36

Simplifying the equation, we have:

10A + B - 10B - A = 36

9A - 9B = 36

Dividing both sides of the equation by 9, we get:

A - B = 4

3B - B = 4

2B = 4

B = 2

Now that we have found the value of B, we can substitute it back into A = 3B to find A:

A = 3(2)

A = 6

Therefore, the two-digit number is 62.

Simplifying the equation, we have:

10A + B - 10B - A = 36

9A - 9B = 36

Dividing both sides of the equation by 9, we get:

A - B = 4

3B - B = 4

2B = 4

B = 2

Now that we have found the value of B, we can substitute it back into A = 3B to find A:

A = 3(2)

A = 6

Therefore, the two-digit number is 62.

Added 98 days ago|11/25/2023 12:53:55 PM

This answer has been confirmed as correct and helpful.

3

(10x + y) - (10y + x) = 36

9x - 9y = 36

x - y = 4

Adding x - y = 4 and x + y = 12, we get:

2x = 16

Dividing both sides of the equation by 2, we find:

x = 8

8 + y = 12

Subtracting 8 from both sides, we find:

y = 4

Therefore, the given number is 84.

9x - 9y = 36

x - y = 4

Adding x - y = 4 and x + y = 12, we get:

2x = 16

Dividing both sides of the equation by 2, we find:

x = 8

8 + y = 12

Subtracting 8 from both sides, we find:

y = 4

Therefore, the given number is 84.

Added 98 days ago|11/25/2023 12:56:54 PM

This answer has been confirmed as correct and helpful.

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