CA Foundation Exam > CA Foundation Questions > If a:b=3:4,the value of (2a 3b):(3a 4b)is?
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If a:b=3:4,the value of (2a 3b):(3a 4b)is?
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If a:b=3:4,the value of (2a 3b):(3a 4b)is?
{2(3) 3(4)} : {3(3) 4(4)}
{6×12} : {9×16}
72 : 144
1 : 2
{6×12} : {9×16}
72 : 144
1 : 2
Community Answer
If a:b=3:4,the value of (2a 3b):(3a 4b)is?
Understanding the Ratio
To solve the problem, we start with the given ratio a:b = 3:4. This means that we can express a and b in terms of a common variable k.
- a = 3k
- b = 4k
Finding the Values of Expressions
Next, we will substitute these values into the expressions (2a + 3b) and (3a + 4b).
1. Calculate 2a + 3b:
- 2a = 2(3k) = 6k
- 3b = 3(4k) = 12k
- Therefore, 2a + 3b = 6k + 12k = 18k
2. Calculate 3a + 4b:
- 3a = 3(3k) = 9k
- 4b = 4(4k) = 16k
- Therefore, 3a + 4b = 9k + 16k = 25k
Forming the Ratio
Now that we have both expressions, we can form the ratio:
- (2a + 3b) : (3a + 4b) = 18k : 25k
Since k is a common factor, we can simplify:
- 18k : 25k = 18 : 25
Final Answer
Thus, the value of (2a + 3b):(3a + 4b) is 18:25.
To solve the problem, we start with the given ratio a:b = 3:4. This means that we can express a and b in terms of a common variable k.
- a = 3k
- b = 4k
Finding the Values of Expressions
Next, we will substitute these values into the expressions (2a + 3b) and (3a + 4b).
1. Calculate 2a + 3b:
- 2a = 2(3k) = 6k
- 3b = 3(4k) = 12k
- Therefore, 2a + 3b = 6k + 12k = 18k
2. Calculate 3a + 4b:
- 3a = 3(3k) = 9k
- 4b = 4(4k) = 16k
- Therefore, 3a + 4b = 9k + 16k = 25k
Forming the Ratio
Now that we have both expressions, we can form the ratio:
- (2a + 3b) : (3a + 4b) = 18k : 25k
Since k is a common factor, we can simplify:
- 18k : 25k = 18 : 25
Final Answer
Thus, the value of (2a + 3b):(3a + 4b) is 18:25.
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If a:b=3:4,the value of (2a 3b):(3a 4b)is? 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 If a:b=3:4,the value of (2a 3b):(3a 4b)is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a:b=3:4,the value of (2a 3b):(3a 4b)is?.
If a:b=3:4,the value of (2a 3b):(3a 4b)is? 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 If a:b=3:4,the value of (2a 3b):(3a 4b)is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a:b=3:4,the value of (2a 3b):(3a 4b)is?.
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