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The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs is
- a)2
- b)5
- c)4
- d)3
- e)6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of two numbers is 156 and their HCF is 13. The numbers of such...
Highest Common Factor (HCF) is 13, that means
the numbers are multiples of 13.
We need sum of numbers to be 156.
In such sums, first write multiples of 13 till 156
the numbers are multiples of 13.
We need sum of numbers to be 156.
In such sums, first write multiples of 13 till 156
Most Upvoted Answer
The sum of two numbers is 156 and their HCF is 13. The numbers of such...
Given:
Sum of two numbers = 156
HCF of two numbers = 13
To find:
Number of such number pairs
Solution:
Let the two numbers be 13a and 13b (as 13 is the HCF, we can take a and b as co-prime numbers)
We know that the sum of two numbers is 156
Therefore, 13a + 13b = 156
Dividing both sides by 13, we get:
a + b = 12
We need to find the number of pairs (a, b) that satisfy the above equation.
We can find these pairs by trial and error or by using a systematic approach:
- If a = 1, b = 11
- If a = 2, b = 10
- If a = 3, b = 9
- If a = 4, b = 8
- If a = 5, b = 7
- If a = 6, b = 6
So, there are only 2 pairs (a, b) that satisfy the equation a + b = 12 (i.e., (1, 11) and (2, 10))
Therefore, the answer is option A) 2.
Sum of two numbers = 156
HCF of two numbers = 13
To find:
Number of such number pairs
Solution:
Let the two numbers be 13a and 13b (as 13 is the HCF, we can take a and b as co-prime numbers)
We know that the sum of two numbers is 156
Therefore, 13a + 13b = 156
Dividing both sides by 13, we get:
a + b = 12
We need to find the number of pairs (a, b) that satisfy the above equation.
We can find these pairs by trial and error or by using a systematic approach:
- If a = 1, b = 11
- If a = 2, b = 10
- If a = 3, b = 9
- If a = 4, b = 8
- If a = 5, b = 7
- If a = 6, b = 6
So, there are only 2 pairs (a, b) that satisfy the equation a + b = 12 (i.e., (1, 11) and (2, 10))
Therefore, the answer is option A) 2.
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The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer?.
The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 156 and their HCF is 13. The numbers of such number pairs isa)2b)5c)4d)3e)6Correct answer is option 'A'. Can you explain this answer?.
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