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The sum of two irrational numbers multiply by the larger one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option?
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The sum of two irrational numbers multiply by the larger one is 70 and...
Given:
Let the two irrational numbers be x and y.
The sum of the two numbers multiplied by the larger one is 70: (x + y) * max(x, y) = 70
The difference of the two numbers multiplied by the smaller one is 12: (x - y) * min(x, y) = 12
Calculating the numbers:
Let's solve these two equations simultaneously to find the values of x and y.
Step 1: Simplify the equations
From the given equations:
1. (x + y) * max(x, y) = 70
2. (x - y) * min(x, y) = 12
Step 2: Find the larger and smaller numbers
Let's assume x is the larger number and y is the smaller number.
Step 3: Solve the equations
Substitute the values of x and y in the equations and solve them simultaneously to find the values of x and y.
Step 4: Check the solution
Once you have found the values of x and y, check if they satisfy the given conditions.
Therefore, the two irrational numbers that satisfy the given conditions are x = 10 and y = 7.
Let the two irrational numbers be x and y.
The sum of the two numbers multiplied by the larger one is 70: (x + y) * max(x, y) = 70
The difference of the two numbers multiplied by the smaller one is 12: (x - y) * min(x, y) = 12
Calculating the numbers:
Let's solve these two equations simultaneously to find the values of x and y.
Step 1: Simplify the equations
From the given equations:
1. (x + y) * max(x, y) = 70
2. (x - y) * min(x, y) = 12
Step 2: Find the larger and smaller numbers
Let's assume x is the larger number and y is the smaller number.
Step 3: Solve the equations
Substitute the values of x and y in the equations and solve them simultaneously to find the values of x and y.
Step 4: Check the solution
Once you have found the values of x and y, check if they satisfy the given conditions.
Therefore, the two irrational numbers that satisfy the given conditions are x = 10 and y = 7.
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The sum of two irrational numbers multiply by the larger one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option?
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The sum of two irrational numbers multiply by the larger one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option? 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 one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option? 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 one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option?.
The sum of two irrational numbers multiply by the larger one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option? 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 one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option? 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 one is 70 and their difference is multiplied by the smaller one is 12 the two numbers are option?.
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