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If the difference of a two digit number (ab) where a > b and number obtained by reverse the digit is divided by 9. What is the remainder?
- a)1
- b)7
- c)18
- d)0
Correct answer is option 'D'. Can you explain this answer?
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If the difference of a two digit number (ab) where a > b and number...
We need to use the given information to form an equation that relates the digits a and b.
From the problem statement, we know that the difference of the two-digit number ab and the number formed by reversing its digits ba is 27. Mathematically,
ab - ba = 27
Simplifying this equation, we get:
10a + b - (10b + a) = 27
9a - 9b = 27
Dividing both sides by 9, we get:
a - b = 3
This equation tells us that the difference between the digits a and b is 3. We can use this information to list all possible pairs of digits that satisfy the condition:
a = 4, b = 1
a = 5, b = 2
a = 6, b = 3
a = 7, b = 4
a = 8, b = 5
a = 9, b = 6
Note that we cannot have a = 1 or b = 0, as this would result in a one-digit number.
Therefore, the possible two-digit numbers that satisfy the given condition are:
41, 52, 63, 74, 85, 96.
From the problem statement, we know that the difference of the two-digit number ab and the number formed by reversing its digits ba is 27. Mathematically,
ab - ba = 27
Simplifying this equation, we get:
10a + b - (10b + a) = 27
9a - 9b = 27
Dividing both sides by 9, we get:
a - b = 3
This equation tells us that the difference between the digits a and b is 3. We can use this information to list all possible pairs of digits that satisfy the condition:
a = 4, b = 1
a = 5, b = 2
a = 6, b = 3
a = 7, b = 4
a = 8, b = 5
a = 9, b = 6
Note that we cannot have a = 1 or b = 0, as this would result in a one-digit number.
Therefore, the possible two-digit numbers that satisfy the given condition are:
41, 52, 63, 74, 85, 96.
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If the difference of a two digit number (ab) where a > b and number...
Quotient will be equal to
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