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HCF and LCM of two numbers is 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbers
- a)16/125
- b)32/275
- c)32/125
- d)16/275
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
HCF and LCM of two numbers is 5 and 275 respectively and the sum of th...
Let the 2 number be x and y
Given:
x + y = 80,
xy = 5*275 = 1375
sum of reciprocals = 1/x + 1/y = (x+y)/xy = 80/1375 = 16/275
Most Upvoted Answer
HCF and LCM of two numbers is 5 and 275 respectively and the sum of th...
Given, HCF = 5, LCM = 275 and sum of the two numbers = 80.
Let the two numbers be a and b.
LCM × HCF = a × b
275 × 5 = a × b
a × b = 1375
a + b = 80
We need to find the sum of the reciprocals of these numbers.
Let the reciprocal of a be x and that of b be y.
x = 1/a and y = 1/b
We need to find the value of x + y.
Calculating the sum of the reciprocals of the two numbers:
x + y = (b + a)/ab
= 80/1375
= 16/275
Therefore, the correct option is (D) 16/275.
Let the two numbers be a and b.
LCM × HCF = a × b
275 × 5 = a × b
a × b = 1375
a + b = 80
We need to find the sum of the reciprocals of these numbers.
Let the reciprocal of a be x and that of b be y.
x = 1/a and y = 1/b
We need to find the value of x + y.
Calculating the sum of the reciprocals of the two numbers:
x + y = (b + a)/ab
= 80/1375
= 16/275
Therefore, the correct option is (D) 16/275.
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HCF and LCM of two numbers is 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbersa)16/125b)32/275c)32/125d)16/275e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about HCF and LCM of two numbers is 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbersa)16/125b)32/275c)32/125d)16/275e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for HCF and LCM of two numbers is 5 and 275 respectively and the sum of these two numbers is 80. Find the sum of the reciprocals of these numbersa)16/125b)32/275c)32/125d)16/275e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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