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The differences between two numbers are 5 and difference in their squares is 65. The larger number is
- a)9
- b)10
- c)11
- d)12
Correct answer is option 'A'. Can you explain this answer?
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The differences between two numbers are 5 and difference in their squa...
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The differences between two numbers are 5 and difference in their squa...
Given information:
The differences between two numbers are 5.
The difference in their squares is 65.
Let's assume:
Let the larger number be x.
Let the smaller number be y.
Equations:
1. The difference between the two numbers is 5.
x - y = 5 (equation 1)
2. The difference in their squares is 65.
x^2 - y^2 = 65 (equation 2)
Solving the equations:
We can solve these equations simultaneously to find the values of x and y.
From equation 1, we can express y in terms of x:
y = x - 5
Substituting this value of y in equation 2, we get:
x^2 - (x - 5)^2 = 65
Expanding and simplifying the equation:
x^2 - (x^2 - 10x + 25) = 65
x^2 - x^2 + 10x - 25 = 65
10x - 25 = 65
10x = 90
x = 9
Conclusion:
The larger number is 9 (option A).
The differences between two numbers are 5.
The difference in their squares is 65.
Let's assume:
Let the larger number be x.
Let the smaller number be y.
Equations:
1. The difference between the two numbers is 5.
x - y = 5 (equation 1)
2. The difference in their squares is 65.
x^2 - y^2 = 65 (equation 2)
Solving the equations:
We can solve these equations simultaneously to find the values of x and y.
From equation 1, we can express y in terms of x:
y = x - 5
Substituting this value of y in equation 2, we get:
x^2 - (x - 5)^2 = 65
Expanding and simplifying the equation:
x^2 - (x^2 - 10x + 25) = 65
x^2 - x^2 + 10x - 25 = 65
10x - 25 = 65
10x = 90
x = 9
Conclusion:
The larger number is 9 (option A).
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The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer?.
The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The differences between two numbers are 5 and difference in their squares is 65. The larger number isa)9b)10c)11d)12Correct answer is option 'A'. Can you explain this answer?.
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