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If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?
- a)48: 105: 25
- b)48: 75: 75
- c)48: 105: 125
- d)48: 75: 30
Correct answer is option 'A'. Can you explain this answer?
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If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the val...
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If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the val...
Solution:
Given, A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2
Let's find the value of B first.
Since A : B = 3 : 5, B can be written as:
B = (5/3)A
Similarly, C : B = 5 : 2 can be written as:
B = (2/5)C
Equating both expressions of B, we get:
(5/3)A = (2/5)C
A : C = 2 : 3
Now, we can find the values of A, B, and C in terms of x:
A = 2x, B = 5x, C = 3x
Using C : D = 3 : 2, we can find D in terms of x:
C : D = 3 : 2
3x : 2D = 3 : 2
D = (2/3) × 3x = 2x
Therefore, A B :B C : C - D = (2x)(5x) : (5x)(3x) : (3x - 2x) = 10x^2 : 15x^2 : x^2 = 2 : 3 : 1
Multiplying each ratio by a common factor of 48, we get:
48 × 2 : 48 × 3 : 48 × 1 = 96 : 144 : 48
Simplifying the ratio, we get:
96 : 144 : 48 = 48 : 72 : 24
Dividing each term by the highest common factor of 24, we get:
48/24 : 72/24 : 24/24 = 2 : 3 : 1
Thus, the value of A B :B C : C - D is 48 : 105 : 25.
Therefore, the correct answer is option 'A'.
Given, A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2
Let's find the value of B first.
Since A : B = 3 : 5, B can be written as:
B = (5/3)A
Similarly, C : B = 5 : 2 can be written as:
B = (2/5)C
Equating both expressions of B, we get:
(5/3)A = (2/5)C
A : C = 2 : 3
Now, we can find the values of A, B, and C in terms of x:
A = 2x, B = 5x, C = 3x
Using C : D = 3 : 2, we can find D in terms of x:
C : D = 3 : 2
3x : 2D = 3 : 2
D = (2/3) × 3x = 2x
Therefore, A B :B C : C - D = (2x)(5x) : (5x)(3x) : (3x - 2x) = 10x^2 : 15x^2 : x^2 = 2 : 3 : 1
Multiplying each ratio by a common factor of 48, we get:
48 × 2 : 48 × 3 : 48 × 1 = 96 : 144 : 48
Simplifying the ratio, we get:
96 : 144 : 48 = 48 : 72 : 24
Dividing each term by the highest common factor of 24, we get:
48/24 : 72/24 : 24/24 = 2 : 3 : 1
Thus, the value of A B :B C : C - D is 48 : 105 : 25.
Therefore, the correct answer is option 'A'.
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If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer?.
If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A : B = 3 : 5, C : B = 5 : 2 and C : D = 3 : 2 then what is the value of A+B :B+ C : C - D?a)48: 105: 25b)48: 75: 75c)48: 105: 125d)48: 75: 30Correct answer is option 'A'. Can you explain this answer?.
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