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The difference between the face values of a two digit number is 7, the number can be ________.
- a)32
- b)29
- c)34
- d)71
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The difference between the face values of a two digit number is 7, the...
The difference between the face values of a two-digit number is 7. We need to find the number.
To solve this problem, we need to understand what is meant by the "face values" of a number. The face value of a digit is the value of the digit itself, regardless of its position in the number.
For example, in the number 32, the face value of the first digit (3) is 3, and the face value of the second digit (2) is 2.
Step 1: Understand the problem
The problem states that the difference between the face values of a two-digit number is 7. This means that the difference between the two digits is 7.
Step 2: Set up the equation
Let's represent the two digits of the number as x and y. Since the problem states that the difference between the digits is 7, we can set up the following equation:
x - y = 7
Step 3: Solve the equation
We can solve this equation by trial and error. Let's consider each option given and see if it satisfies the equation:
a) 32: The difference between the face values (3 - 2) is 1, not 7. So, this option is not correct.
b) 29: The difference between the face values (9 - 2) is 7, which satisfies the equation. So, this option is correct.
c) 34: The difference between the face values (4 - 3) is 1, not 7. So, this option is not correct.
d) 71: The difference between the face values (1 - 7) is -6, not 7. So, this option is not correct.
e) None of these: We have found that option b (29) satisfies the equation, so this option is not correct.
Therefore, the correct answer is option b) 29.
To solve this problem, we need to understand what is meant by the "face values" of a number. The face value of a digit is the value of the digit itself, regardless of its position in the number.
For example, in the number 32, the face value of the first digit (3) is 3, and the face value of the second digit (2) is 2.
Step 1: Understand the problem
The problem states that the difference between the face values of a two-digit number is 7. This means that the difference between the two digits is 7.
Step 2: Set up the equation
Let's represent the two digits of the number as x and y. Since the problem states that the difference between the digits is 7, we can set up the following equation:
x - y = 7
Step 3: Solve the equation
We can solve this equation by trial and error. Let's consider each option given and see if it satisfies the equation:
a) 32: The difference between the face values (3 - 2) is 1, not 7. So, this option is not correct.
b) 29: The difference between the face values (9 - 2) is 7, which satisfies the equation. So, this option is correct.
c) 34: The difference between the face values (4 - 3) is 1, not 7. So, this option is not correct.
d) 71: The difference between the face values (1 - 7) is -6, not 7. So, this option is not correct.
e) None of these: We have found that option b (29) satisfies the equation, so this option is not correct.
Therefore, the correct answer is option b) 29.
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Right ans is 29
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