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The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are?
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The sum of two irrational number multiplied by larger one is 70 and th...
Given Information:
The sum of two irrational numbers multiplied by the larger one is 70, and their difference multiplied by the smaller one is 12.
Let's assume:
Let the two irrational numbers be represented by x and y, where x is the larger number and y is the smaller number.
Formulating Equations:
We can represent the given conditions as the following equations:
1. x + y = 70/x
2. x - y = 12/y
Solving the Equations:
We can solve these equations simultaneously to find the values of x and y.
Adding the two equations, we get:
2x = 70/x + 12/y
Multiplying by xy on both sides, we get:
2xy = 70y + 12x
Rearranging terms, we get:
12x - 2xy = 70y
Dividing by 2, we get:
6x - xy = 35y
Subtracting the second equation from this, we get:
12y = 23
Therefore, y = 23/12
Substitute y back into the equation x - y = 12/y to find x.
Conclusion:
The two irrational numbers are x = 70/23 and y = 23/12.
The sum of two irrational numbers multiplied by the larger one is 70, and their difference multiplied by the smaller one is 12.
Let's assume:
Let the two irrational numbers be represented by x and y, where x is the larger number and y is the smaller number.
Formulating Equations:
We can represent the given conditions as the following equations:
1. x + y = 70/x
2. x - y = 12/y
Solving the Equations:
We can solve these equations simultaneously to find the values of x and y.
Adding the two equations, we get:
2x = 70/x + 12/y
Multiplying by xy on both sides, we get:
2xy = 70y + 12x
Rearranging terms, we get:
12x - 2xy = 70y
Dividing by 2, we get:
6x - xy = 35y
Subtracting the second equation from this, we get:
12y = 23
Therefore, y = 23/12
Substitute y back into the equation x - y = 12/y to find x.
Conclusion:
The two irrational numbers are x = 70/23 and y = 23/12.
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The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are?
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The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are?.
The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two irrational number multiplied by larger one is 70 and their difference multiplied by smaller one is 12 the two numbers are?.
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