Select the correct answerIf (𝟓𝒂−𝟑𝒃)∶(𝟒𝒂−𝟐𝒃)=𝟐∶𝟑 then a : b is equal to:Options2 : 33 : 45 : 85 : 7

Question

Select the correct answerIf (𝟓𝒂−𝟑𝒃)∶(𝟒𝒂−𝟐𝒃)=𝟐∶𝟑 then a : b is equal to:Options2 : 33 : 45 : 85 : 7

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Solution

The given equation is (5a - 3b) : (4a - 2b) = 2 : 3.

We can simplify this equation by dividing both sides of the equation by 2. This gives us:

(5a - 3b) / (4a - 2b) = 2 / 3.

Cross multiplying gives us:

3 * (5a - 3b) = 2 * (4a - 2b).

Expanding both sides gives us:

15a - 9b = 8a - 4b.

Subtracting 8a from both sides gives us:

7a = 5b.

So, a : b = 5 : 7.

Therefore, the correct answer is 5 : 7.

This problem has been solved

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