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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...
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'.
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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?
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