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A two digit number is such that the product of it's digits is 12. When 9 is added to the number, the digits interchange their places, find the number :
- a)62
- b)34
- c)26
- d)43
Correct answer is option 'B'. Can you explain this answer?
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A two digit number is such that the product of it's digits is 12. ...
Given information:
- A two-digit number has a product of its digits as 12.
- When 9 is added to the number, the digits interchange their places.
To find: The number.
Solution:
Let the tens digit of the number be x and the unit digit be y.
According to the given information, we have:
- xy = 12
- When 9 is added to the number, the digits interchange their places, which means the new number is 10y + x + 9.
We can now form the following equation based on the given information:
10y + x + 9 = 10x + y
Simplifying this equation, we get:
9y - 9x = -9
y - x = -1
We now have two equations in two variables:
xy = 12
y - x = -1
Solving these equations simultaneously, we get:
x = 3, y = 4
Therefore, the number is 34.
Hence, option (b) is the correct answer.
- A two-digit number has a product of its digits as 12.
- When 9 is added to the number, the digits interchange their places.
To find: The number.
Solution:
Let the tens digit of the number be x and the unit digit be y.
According to the given information, we have:
- xy = 12
- When 9 is added to the number, the digits interchange their places, which means the new number is 10y + x + 9.
We can now form the following equation based on the given information:
10y + x + 9 = 10x + y
Simplifying this equation, we get:
9y - 9x = -9
y - x = -1
We now have two equations in two variables:
xy = 12
y - x = -1
Solving these equations simultaneously, we get:
x = 3, y = 4
Therefore, the number is 34.
Hence, option (b) is the correct answer.
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A two digit number is such that the product of it's digits is 12. When 9 is added to the number, the digits interchange their places, find the number :a)62b)34c)26d)43Correct answer is option 'B'. Can you explain this answer?
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