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 11/25/2023 12:56:59 PM

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User: 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.

Weegy: The original number is 48.
Expert answered|Greetings|Points 88|

User: the digit in the tens place of a two digit number is three times that in the ones place.if the digits are reversed the new number is 36 less than the original number find the number. give working

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

Updated 11/25/2023 12:56:59 PM

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MichellDonovan

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.

Added 11/25/2023 12:53:55 PM

This answer has been confirmed as correct and helpful.

MichellDonovan

(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.

Added 11/25/2023 12:56:54 PM

This answer has been confirmed as correct and helpful.

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