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Two number are in the ration 3:4 if 6 be added to each number of the ratio, then the new ratio will be 4:5 , then the number are
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Two number are in the ration 3:4 if 6 be added to each number of the r...
Given:
The ratio of two numbers is 3:4.
To find:
The two numbers.
Step-by-Step Solution:
Step 1: Assign variables:
Let's assign variables to the two numbers in the ratio. We can call the first number 3x and the second number 4x, where x is a constant.
Step 2: Formulate equation:
According to the given information, if 6 is added to each number, the new ratio becomes 4:5. We can express this as:
(3x + 6) : (4x + 6) = 4:5
Step 3: Solve the equation:
To solve the equation, we can cross multiply:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
15x - 16x = 24 - 30
-x = -6
x = 6
Step 4: Find the numbers:
Now that we have the value of x, we can substitute it back into our variables to find the numbers:
First number = 3x = 3(6) = 18
Second number = 4x = 4(6) = 24
Step 5: Check the solution:
We can verify if our solution is correct by adding 6 to each number and checking if the resulting ratio is 4:5:
(18 + 6) : (24 + 6) = 24 : 30 = 4 : 5
Conclusion:
The two numbers are 18 and 24.
The ratio of two numbers is 3:4.
To find:
The two numbers.
Step-by-Step Solution:
Step 1: Assign variables:
Let's assign variables to the two numbers in the ratio. We can call the first number 3x and the second number 4x, where x is a constant.
Step 2: Formulate equation:
According to the given information, if 6 is added to each number, the new ratio becomes 4:5. We can express this as:
(3x + 6) : (4x + 6) = 4:5
Step 3: Solve the equation:
To solve the equation, we can cross multiply:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
15x - 16x = 24 - 30
-x = -6
x = 6
Step 4: Find the numbers:
Now that we have the value of x, we can substitute it back into our variables to find the numbers:
First number = 3x = 3(6) = 18
Second number = 4x = 4(6) = 24
Step 5: Check the solution:
We can verify if our solution is correct by adding 6 to each number and checking if the resulting ratio is 4:5:
(18 + 6) : (24 + 6) = 24 : 30 = 4 : 5
Conclusion:
The two numbers are 18 and 24.
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Two number are in the ration 3:4 if 6 be added to each number of the ratio, then the new ratio will be 4:5 , then the number are?
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Two number are in the ration 3:4 if 6 be added to each number 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 number are in the ration 3:4 if 6 be added to each number 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 number are in the ration 3:4 if 6 be added to each number of the ratio, then the new ratio will be 4:5 , then the number are?.
Two number are in the ration 3:4 if 6 be added to each number 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 number are in the ration 3:4 if 6 be added to each number 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 number are in the ration 3:4 if 6 be added to each number of the ratio, then the new ratio will be 4:5 , then the number are?.
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