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The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal?
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The difference between two numbers is 22 and their products is 240 wha...
Solution:
Given:
- The difference between two numbers is 22
- The product of the two numbers is 240
Finding the Numbers:
Let's assume the two numbers are x and y.
According to the given information:
1. x - y = 22
2. x * y = 240
Solving the above two equations simultaneously, we can find the numbers x and y.
Calculations:
From equation 1: x = y + 22
Substitute x in equation 2: (y + 22) * y = 240
y^2 + 22y - 240 = 0
(y + 30)(y - 8) = 0
So, y = -30 or y = 8
If y = 8, then x = 30
If y = -30, then x = -8
Therefore, the two numbers are 30 and 8 or -8 and -30.
Finding the Reciprocals:
Reciprocal of a number is 1 divided by that number.
Let's find the reciprocals of the numbers:
1. For 30 and 8:
Reciprocal of 30 = 1/30
Reciprocal of 8 = 1/8
Difference = 1/30 - 1/8 = (8 - 30) / 240 = -22 / 240 = -11 / 120
2. For -8 and -30:
Reciprocal of -8 = 1/-8 = -1/8
Reciprocal of -30 = 1/-30 = -1/30
Difference = -1/8 - (-1/30) = (-30 + 8) / 240 = -22 / 240 = -11 / 120
Conclusion:
The difference between the reciprocals of the two pairs of numbers (30, 8) and (-30, -8) is -11/120.
Given:
- The difference between two numbers is 22
- The product of the two numbers is 240
Finding the Numbers:
Let's assume the two numbers are x and y.
According to the given information:
1. x - y = 22
2. x * y = 240
Solving the above two equations simultaneously, we can find the numbers x and y.
Calculations:
From equation 1: x = y + 22
Substitute x in equation 2: (y + 22) * y = 240
y^2 + 22y - 240 = 0
(y + 30)(y - 8) = 0
So, y = -30 or y = 8
If y = 8, then x = 30
If y = -30, then x = -8
Therefore, the two numbers are 30 and 8 or -8 and -30.
Finding the Reciprocals:
Reciprocal of a number is 1 divided by that number.
Let's find the reciprocals of the numbers:
1. For 30 and 8:
Reciprocal of 30 = 1/30
Reciprocal of 8 = 1/8
Difference = 1/30 - 1/8 = (8 - 30) / 240 = -22 / 240 = -11 / 120
2. For -8 and -30:
Reciprocal of -8 = 1/-8 = -1/8
Reciprocal of -30 = 1/-30 = -1/30
Difference = -1/8 - (-1/30) = (-30 + 8) / 240 = -22 / 240 = -11 / 120
Conclusion:
The difference between the reciprocals of the two pairs of numbers (30, 8) and (-30, -8) is -11/120.
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The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal?
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The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal?.
The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between two numbers is 22 and their products is 240 what is the difference blw their reciprocal?.
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