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How many different pairs (a, b} of positive integers are there such that a < b and 
Correct answer is '3'. Can you explain this answer?
Verified Answer
How many different pairs (a, b} of positive integers are there such th...
9(a + b) = ab
ab – 9a – 9b + 81 = 81
(a – 9) (b – 9) = 81 = 34
As a, b > 0 and a ≤ b, there are only 3 ordered pairs, given by a – 9 = 1, 3 or 9 and correspondingly b – 9 = 81, 27, 9.
We have to make sure that we satisfy the condition, a≤b
These are the following pairs of (a,b) that satisfy the condition
(a,b) = (10,90), (12, 36), (18,18)
Answer: 3
ab – 9a – 9b + 81 = 81
(a – 9) (b – 9) = 81 = 34
As a, b > 0 and a ≤ b, there are only 3 ordered pairs, given by a – 9 = 1, 3 or 9 and correspondingly b – 9 = 81, 27, 9.
We have to make sure that we satisfy the condition, a≤b
These are the following pairs of (a,b) that satisfy the condition
(a,b) = (10,90), (12, 36), (18,18)
Answer: 3
Most Upvoted Answer
How many different pairs (a, b} of positive integers are there such th...
9(a + b) = ab
ab – 9a – 9b + 81 = 81
(a – 9) (b – 9) = 81 = 34
As a, b > 0 and a ≤ b, there are only 3 ordered pairs, given by a – 9 = 1, 3 or 9 and correspondingly b – 9 = 81, 27, 9.
We have to make sure that we satisfy the condition, a≤b
These are the following pairs of (a,b) that satisfy the condition
(a,b) = (10,90), (12, 36), (18,18)
Answer: 3
ab – 9a – 9b + 81 = 81
(a – 9) (b – 9) = 81 = 34
As a, b > 0 and a ≤ b, there are only 3 ordered pairs, given by a – 9 = 1, 3 or 9 and correspondingly b – 9 = 81, 27, 9.
We have to make sure that we satisfy the condition, a≤b
These are the following pairs of (a,b) that satisfy the condition
(a,b) = (10,90), (12, 36), (18,18)
Answer: 3
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How many different pairs (a, b} of positive integers are there such th...
B+a/ab=1/9
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How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer?
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How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer?.
How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many different pairs (a, b} of positive integers are there such that a < b and Correct answer is '3'. Can you explain this answer?.
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