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if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, ...
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if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, ...
Understanding the Given Ratios
- Given x:y = 3:4, we can write x as 3k and y as 4k, where k is a constant.
- This means x = 3k and y = 4k.
Calculating x²y+xy² and x³+y³
- x²y + xy² = (3k)² * 4k + 3k * (4k)²
= 12k² + 48k²
= 60k²
- x³ + y³ = (3k)³ + (4k)³
= 27k³ + 64k³
= 91k³
Finding the Ratio x²y+xy² : x³+y³
- The ratio of x²y+xy² to x³+y³ is (60k²) : (91k³).
- Simplifying, we get 60k² : 91k³.
- Further simplifying by dividing both sides by the highest common factor, we get 20 : 30.
- Therefore, the ratio x²y+xy² : x³+y³ is 20 : 30, which simplifies to 2 : 3.
- Given x:y = 3:4, we can write x as 3k and y as 4k, where k is a constant.
- This means x = 3k and y = 4k.
Calculating x²y+xy² and x³+y³
- x²y + xy² = (3k)² * 4k + 3k * (4k)²
= 12k² + 48k²
= 60k²
- x³ + y³ = (3k)³ + (4k)³
= 27k³ + 64k³
= 91k³
Finding the Ratio x²y+xy² : x³+y³
- The ratio of x²y+xy² to x³+y³ is (60k²) : (91k³).
- Simplifying, we get 60k² : 91k³.
- Further simplifying by dividing both sides by the highest common factor, we get 20 : 30.
- Therefore, the ratio x²y+xy² : x³+y³ is 20 : 30, which simplifies to 2 : 3.
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if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)?
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if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? 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 x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)?.
if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? 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 x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for if x:y=3:4 the value of x²y+xy²:x³+y³ Related: Ratio and Proportion, Indices, Logarithms (Part - 1)?.
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