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The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?
- a)22 and 88
- b)44 and 66
- c)44 and 110
- d)33 and 99
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The difference between two whole numbers is 66. The ratio of the two n...
5x-2x=66
3x=66
x=66/3
x=22
5x=22*5=110
2x=22*2=44
The numbers are 110 and 44
Most Upvoted Answer
The difference between two whole numbers is 66. The ratio of the two n...
The Problem:
The problem states that the difference between two whole numbers is 66, and the ratio of the two numbers is given as 2 : 5. We are required to find the two numbers.
Understanding the Problem:
To solve this problem, we need to understand the concept of a ratio. A ratio compares two quantities and shows how they are related to each other. In this problem, the ratio of the two numbers is 2 : 5, which means that for every 2 units of the first number, there are 5 units of the second number.
Formulating the Solution:
To find the two numbers, we can set up an equation using the given information.
Let's assume the first number is 'x' and the second number is 'y'.
According to the problem, the difference between the two numbers is 66. Therefore, we can write the equation as:
y - x = 66
We also know that the ratio of the two numbers is 2 : 5, which means:
x/y = 2/5
Solving the Equations:
To solve the system of equations, we can use the method of substitution.
From the first equation, we can express 'y' in terms of 'x' as:
y = x + 66
Substituting this value of 'y' in the second equation, we get:
x / (x + 66) = 2 / 5
Cross-multiplying, we have:
5x = 2(x + 66)
Expanding the equation, we get:
5x = 2x + 132
Simplifying further:
5x - 2x = 132
3x = 132
Dividing both sides of the equation by 3:
x = 44
Substituting this value of 'x' back into the first equation, we get:
y = 44 + 66
y = 110
The Solution:
Therefore, the two numbers are 44 and 110. Hence, the correct answer is option 'C'.
The problem states that the difference between two whole numbers is 66, and the ratio of the two numbers is given as 2 : 5. We are required to find the two numbers.
Understanding the Problem:
To solve this problem, we need to understand the concept of a ratio. A ratio compares two quantities and shows how they are related to each other. In this problem, the ratio of the two numbers is 2 : 5, which means that for every 2 units of the first number, there are 5 units of the second number.
Formulating the Solution:
To find the two numbers, we can set up an equation using the given information.
Let's assume the first number is 'x' and the second number is 'y'.
According to the problem, the difference between the two numbers is 66. Therefore, we can write the equation as:
y - x = 66
We also know that the ratio of the two numbers is 2 : 5, which means:
x/y = 2/5
Solving the Equations:
To solve the system of equations, we can use the method of substitution.
From the first equation, we can express 'y' in terms of 'x' as:
y = x + 66
Substituting this value of 'y' in the second equation, we get:
x / (x + 66) = 2 / 5
Cross-multiplying, we have:
5x = 2(x + 66)
Expanding the equation, we get:
5x = 2x + 132
Simplifying further:
5x - 2x = 132
3x = 132
Dividing both sides of the equation by 3:
x = 44
Substituting this value of 'x' back into the first equation, we get:
y = 44 + 66
y = 110
The Solution:
Therefore, the two numbers are 44 and 110. Hence, the correct answer is option 'C'.
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Community Answer
The difference between two whole numbers is 66. The ratio of the two n...
5x-2x=66 ok so 3x=66 so'x=66/3 so=22 22×2=44 22×5=110
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The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer?
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The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer?.
The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. What are the two numbers?a)22 and 88b)44 and 66c)44 and 110d)33 and 99Correct answer is option 'C'. Can you explain this answer?.
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