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Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are?
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Two numbera are in the ratio 3:4, if 6 be added to each terms of the r...
Given:
Two numbers are in the ratio 3:4.
To find:
The numbers.
Approach:
Let the two numbers be 3x and 4x, where x is the common ratio.
When 6 is added to each term of the ratio, the new ratio becomes 4:5.
Solution:
Step 1: Set up the ratio:
The original ratio is 3:4, which can be written as (3x):(4x).
Step 2: Add 6 to each term of the ratio:
When 6 is added to each term of the ratio, the new ratio becomes (3x + 6):(4x + 6).
Step 3: Set up the equation:
According to the given information, the new ratio is 4:5. So, we can write the equation as:
(3x + 6)/(4x + 6) = 4/5
Step 4: Solve the equation:
Cross-multiply to solve the equation:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
15x - 16x = 24 - 30
-x = -6
x = 6
Step 5: Find the numbers:
Substitute the value of x in the original ratio to find the numbers:
First number = 3x = 3 * 6 = 18
Second number = 4x = 4 * 6 = 24
Conclusion:
The two numbers are 18 and 24.
Two numbers are in the ratio 3:4.
To find:
The numbers.
Approach:
Let the two numbers be 3x and 4x, where x is the common ratio.
When 6 is added to each term of the ratio, the new ratio becomes 4:5.
Solution:
Step 1: Set up the ratio:
The original ratio is 3:4, which can be written as (3x):(4x).
Step 2: Add 6 to each term of the ratio:
When 6 is added to each term of the ratio, the new ratio becomes (3x + 6):(4x + 6).
Step 3: Set up the equation:
According to the given information, the new ratio is 4:5. So, we can write the equation as:
(3x + 6)/(4x + 6) = 4/5
Step 4: Solve the equation:
Cross-multiply to solve the equation:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
15x - 16x = 24 - 30
-x = -6
x = 6
Step 5: Find the numbers:
Substitute the value of x in the original ratio to find the numbers:
First number = 3x = 3 * 6 = 18
Second number = 4x = 4 * 6 = 24
Conclusion:
The two numbers are 18 and 24.
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Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are?
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Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are?.
Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbera are in the ratio 3:4, if 6 be added to each terms of the ratio, then the new ratio will be 4:5, then the number are?.
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