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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Updated 98 days ago|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.

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

Question
Updated 98 days ago|11/25/2023 12:56:59 PM
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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.
Added 98 days ago|11/25/2023 12:53:55 PM
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.

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

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