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If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?
- a)18
- b)29
- c)26
- d)21
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If the difference of two numbers is 5 and the difference of their squa...
Let, the bigger number = x and the smaller number = y
According to problem,
⇒ x - y = 5 ----(1)
According to problem,
⇒ x2 - y2 = 235
⇒ (x - y)(x + y) =235 ----(2)
From (1) and (2) we get,
⇒ x + y = 235/5
⇒ x + y = 47 ----(3)
From (3) - (1) we get,
⇒ 2y = 47 - 5
⇒ y = 21
∴ The smaller number = 21
According to problem,
⇒ x - y = 5 ----(1)
According to problem,
⇒ x2 - y2 = 235
⇒ (x - y)(x + y) =235 ----(2)
From (1) and (2) we get,
⇒ x + y = 235/5
⇒ x + y = 47 ----(3)
From (3) - (1) we get,
⇒ 2y = 47 - 5
⇒ y = 21
∴ The smaller number = 21
Most Upvoted Answer
If the difference of two numbers is 5 and the difference of their squa...
To solve this problem, let's assume the two numbers as x and y, where x is the smaller number. According to the given information:
1. The difference of two numbers is 5:
x - y = 5
2. The difference of their squares is 235:
x^2 - y^2 = 235
We can use these two equations to solve for x and y.
1. The difference of two numbers is 5:
x - y = 5
2. The difference of their squares is 235:
x^2 - y^2 = 235
We can use these two equations to solve for x and y.
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If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer?
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If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer?.
If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the difference of two numbers is 5 and the difference of their squares is 235, then what is the smaller number?a)18b)29c)26d)21Correct answer is option 'D'. Can you explain this answer?.
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