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The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these?
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The sum of two irrational numbers multiply by the larger 1 is 70 and t...
Given Information:
The sum of two irrational numbers multiply by the larger one is 70 and the difference is multiplied by the smaller one is 12.
To find:
The two numbers out of the given options.
Let's solve the problem step by step:
Step 1: Set up equations
Let the two numbers be x and y. According to the given information, we can write the following equations:
1. (x + y) * y = 70
2. (x - y) * x = 12
Step 2: Solve the equations
By solving the above equations, we get:
1. y^2 + xy = 70
2. x^2 - xy = 12
Step 3: Substitute the values
Now, substitute the values of x and y from the given options:
Option A: x = 3√2, y = √3
Option B: x = 5√2, y = 3√5
Option C: x = 2√2, y = 5√2
Step 4: Check the options
By substituting the values of x and y from each option into the equations and checking if they satisfy the conditions given in the question, we find that only option B (x = 5√2, y = 3√5) satisfies both conditions.
Therefore, the two numbers are 5√2 and 3√5. Option B is the correct answer.
The sum of two irrational numbers multiply by the larger one is 70 and the difference is multiplied by the smaller one is 12.
To find:
The two numbers out of the given options.
Let's solve the problem step by step:
Step 1: Set up equations
Let the two numbers be x and y. According to the given information, we can write the following equations:
1. (x + y) * y = 70
2. (x - y) * x = 12
Step 2: Solve the equations
By solving the above equations, we get:
1. y^2 + xy = 70
2. x^2 - xy = 12
Step 3: Substitute the values
Now, substitute the values of x and y from the given options:
Option A: x = 3√2, y = √3
Option B: x = 5√2, y = 3√5
Option C: x = 2√2, y = 5√2
Step 4: Check the options
By substituting the values of x and y from each option into the equations and checking if they satisfy the conditions given in the question, we find that only option B (x = 5√2, y = 3√5) satisfies both conditions.
Therefore, the two numbers are 5√2 and 3√5. Option B is the correct answer.
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The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these?
Question Description
The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these?.
The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two irrational numbers multiply by the larger 1 is 70 and the difference is multiplied by the smaller one is 12 the two numbers are option a 3√2 root of 3 option B 5 root of 2 3 root of 5 option c 2 root of 2 5 √2 option d none of these?.
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