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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 '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...
Let the two numbers be x & y
By their ratio we can say 2x = 5y --- (i)
By their difference we can say x - y = 66 --- (ii)
Or, x = 66+y --- (iii)
Putting this value of x in eq.(i) we get :
2(66+y) = 5y
132 + 2y = 5y
3y = 132
y = 44
Putting this value of y in eq.(iii) we get :
x = 66 + 44
x = 110
So, the two numbers are 110 and 44.
Most Upvoted Answer
The difference between two whole numbers is 66. The ratio of the two n...
The given information:
The difference between two whole numbers is 66.
The ratio of the two numbers is 2:5.
To find:
The two whole numbers.
Approach:
Let's assume the two numbers as 2x and 5x, where x is a constant.
Explanation:
Step 1: Understanding the given information
The difference between two whole numbers is 66. This means 5x - 2x = 66.
Step 2: Solving the equation
5x - 2x = 66
3x = 66
x = 22
Step 3: Finding the numbers
Now, substituting the value of x in 2x and 5x, we get:
2x = 2 * 22 = 44
5x = 5 * 22 = 110
Therefore, the two whole numbers are 44 and 110.
Step 4: Verifying the answer
To verify the answer, we can check if the difference between the two numbers is indeed 66 and if the ratio of the two numbers is 2:5.
Difference: 110 - 44 = 66 (matches the given difference)
Ratio: 44:110 = 2:5
Therefore, the answer is option C (44 and 110).
The difference between two whole numbers is 66.
The ratio of the two numbers is 2:5.
To find:
The two whole numbers.
Approach:
Let's assume the two numbers as 2x and 5x, where x is a constant.
Explanation:
Step 1: Understanding the given information
The difference between two whole numbers is 66. This means 5x - 2x = 66.
Step 2: Solving the equation
5x - 2x = 66
3x = 66
x = 22
Step 3: Finding the numbers
Now, substituting the value of x in 2x and 5x, we get:
2x = 2 * 22 = 44
5x = 5 * 22 = 110
Therefore, the two whole numbers are 44 and 110.
Step 4: Verifying the answer
To verify the answer, we can check if the difference between the two numbers is indeed 66 and if the ratio of the two numbers is 2:5.
Difference: 110 - 44 = 66 (matches the given difference)
Ratio: 44:110 = 2:5
Therefore, the answer is option C (44 and 110).
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Community Answer
The difference between two whole numbers is 66. The ratio of the two n...
Let the num. be y and z 2y = 5z y =66 +y by solving 2 (66+z) = 5y you will get the answer as 44 so 44 is the first num. by solving y=44 you will get 110 thats how you get the second num. the correct answer is C not A
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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 'C'. Can you explain this answer?
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