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Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.?
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Sum of two natural no is 8 and difference of resipocal is 2/15 find th...
Problem:
Sum of two natural no is 8 and difference of reciprocal is 2/15. Find the numbers.
Solution:
Let the two natural numbers be x and y.
Given, x + y = 8 ...(1)
Also, (1/x) - (1/y) = 2/15
Multiplying both sides by xy, we get:
y - x = 2xy/15 ...(2)
Adding equations (1) and (2), we get:
2y = (120 + 17xy)/15
Multiplying both sides by 15, we get:
30y = 120 + 17xy
or 17xy - 30y + 120 = 0
On solving this quadratic equation, we get:
xy = 60/17 and y = (30 + √760)/17
Substituting the value of y in equation (1), we get:
x + (30 + √760)/17 = 8
or x = (136 - √760)/17
Therefore, the two numbers are (136 - √760)/17 and (30 + √760)/17.
Answer:
The two natural numbers are (136 - √760)/17 and (30 + √760)/17.
Sum of two natural no is 8 and difference of reciprocal is 2/15. Find the numbers.
Solution:
Let the two natural numbers be x and y.
Given, x + y = 8 ...(1)
Also, (1/x) - (1/y) = 2/15
Multiplying both sides by xy, we get:
y - x = 2xy/15 ...(2)
Adding equations (1) and (2), we get:
2y = (120 + 17xy)/15
Multiplying both sides by 15, we get:
30y = 120 + 17xy
or 17xy - 30y + 120 = 0
On solving this quadratic equation, we get:
xy = 60/17 and y = (30 + √760)/17
Substituting the value of y in equation (1), we get:
x + (30 + √760)/17 = 8
or x = (136 - √760)/17
Therefore, the two numbers are (136 - √760)/17 and (30 + √760)/17.
Answer:
The two natural numbers are (136 - √760)/17 and (30 + √760)/17.
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Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.?.
Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sum of two natural no is 8 and difference of resipocal is 2/15 find the number.?.
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