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The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio becomes 1:2. Find the sum of the two numbers?
- a)9
- b)10.5
- c)11.5
- d)12
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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The ratio of two numbers is 3:4. If 3 is subtracted from both the numb...
Answer – b) 10.5 Explanation : (3x – 3)/(4x – 3) = ½ x = 1.5 sum of the numbers = 7*1.5 = 10.5
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The ratio of two numbers is 3:4. If 3 is subtracted from both the numb...
Given:
The ratio of two numbers is 3:4.
To find:
The sum of the two numbers.
Solution:
Let's assume the two numbers as 3x and 4x, as the ratio of the two numbers is 3:4.
After subtracting 3 from both numbers, the new ratio becomes 1:2.
So, the new numbers would be 3x - 3 and 4x - 3.
According to the given condition,
(3x - 3) / (4x - 3) = 1 / 2
Cross-multiplying the equation, we get:
2(3x - 3) = 1(4x - 3)
6x - 6 = 4x - 3
6x - 4x = -3 + 6
2x = 3
x = 3/2
Now, substituting the value of x in the assumed numbers, we get:
First number = 3x = 3 * (3/2) = 9/2
Second number = 4x = 4 * (3/2) = 6
The sum of the two numbers = (9/2) + 6 = 9/2 + 12/2 = 21/2 = 10.5
Therefore, the sum of the two numbers is 10.5.
Answer:
Option B) 10.5
The ratio of two numbers is 3:4.
To find:
The sum of the two numbers.
Solution:
Let's assume the two numbers as 3x and 4x, as the ratio of the two numbers is 3:4.
After subtracting 3 from both numbers, the new ratio becomes 1:2.
So, the new numbers would be 3x - 3 and 4x - 3.
According to the given condition,
(3x - 3) / (4x - 3) = 1 / 2
Cross-multiplying the equation, we get:
2(3x - 3) = 1(4x - 3)
6x - 6 = 4x - 3
6x - 4x = -3 + 6
2x = 3
x = 3/2
Now, substituting the value of x in the assumed numbers, we get:
First number = 3x = 3 * (3/2) = 9/2
Second number = 4x = 4 * (3/2) = 6
The sum of the two numbers = (9/2) + 6 = 9/2 + 12/2 = 21/2 = 10.5
Therefore, the sum of the two numbers is 10.5.
Answer:
Option B) 10.5
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The ratio of two numbers is 3:4. If 3 is subtracted from both the numbers, the ratio becomes 1:2. Find the sum of the two numbers?a)9b)10.5c)11.5d)12e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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