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I am a 2-digit number. The sum of my 2 digits is 9. Their difference is 1-The larger digit is in the tens place. Who am I?
- a)63
- b)54
- c)81
- d)76
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
I am a 2-digit number. The sum of my 2 digits is 9. Their difference i...
The sum of the digits in 54, is 5 + 4 = 9. The difference of the digits in 54 is 5 - 4 =1. The larger digit is in the tens place. So, the required two digit number is 54.
Most Upvoted Answer
I am a 2-digit number. The sum of my 2 digits is 9. Their difference i...
Problem:
I am a 2-digit number. The sum of my 2 digits is 9. Their difference is 1. The larger digit is in the tens place. Who am I?
Solution:
To solve this problem, we need to find a 2-digit number that satisfies the given conditions. Let's break down the problem step by step.
Step 1: Understand the given conditions.
- The number is a 2-digit number.
- The sum of the 2 digits is 9.
- The difference between the digits is 1.
- The larger digit is in the tens place.
Step 2: Consider the possible values for the tens and units digits.
- The sum of the digits is 9, so the possible values for the digits are (1, 8), (2, 7), (3, 6), or (4, 5).
- The difference between the digits is 1, so the possible values for the digits are (1, 2), (2, 3), (3, 4), or (4, 5).
Step 3: Determine the correct combination of digits based on the given conditions.
- The larger digit is in the tens place, so we can eliminate the combinations (1, 2) and (2, 3).
Step 4: Calculate the number.
- From the remaining combinations (3, 4) and (4, 5), we know that the larger digit is in the tens place. Therefore, the correct combination is (4, 5).
- So, the number is 45.
Conclusion:
Therefore, the 2-digit number that satisfies all the given conditions is 45. Hence, the correct answer is option B.
I am a 2-digit number. The sum of my 2 digits is 9. Their difference is 1. The larger digit is in the tens place. Who am I?
Solution:
To solve this problem, we need to find a 2-digit number that satisfies the given conditions. Let's break down the problem step by step.
Step 1: Understand the given conditions.
- The number is a 2-digit number.
- The sum of the 2 digits is 9.
- The difference between the digits is 1.
- The larger digit is in the tens place.
Step 2: Consider the possible values for the tens and units digits.
- The sum of the digits is 9, so the possible values for the digits are (1, 8), (2, 7), (3, 6), or (4, 5).
- The difference between the digits is 1, so the possible values for the digits are (1, 2), (2, 3), (3, 4), or (4, 5).
Step 3: Determine the correct combination of digits based on the given conditions.
- The larger digit is in the tens place, so we can eliminate the combinations (1, 2) and (2, 3).
Step 4: Calculate the number.
- From the remaining combinations (3, 4) and (4, 5), we know that the larger digit is in the tens place. Therefore, the correct combination is (4, 5).
- So, the number is 45.
Conclusion:
Therefore, the 2-digit number that satisfies all the given conditions is 45. Hence, the correct answer is option B.
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