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

Question

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

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Solution

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

Step 1: We can rewrite this equation as (5a - 3b) / (4a - 2b) = 2 / 3.

Step 2: Cross multiply to get 3*(5a - 3b) = 2*(4a - 2b).

Step 3: Simplify to get 15a - 9b = 8a - 4b.

Step 4: Rearrange to get 15a - 8a = 9b + 4b.

Step 5: Simplify to get 7a = 13b.

Step 6: Divide both sides by 7b to get a/b = 13/7.

So, a : b = 13 : 7.

Similar Questions

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

If (𝟓𝒂−𝟑𝒃)∶(𝟒𝒂−𝟐𝒃)=𝟐∶𝟑 then a : b is equal to:Options5 : 72 : 33 : 45 : 8

b=at𝑏=𝑎𝑡; solve for t𝑡.

Select the correct answerIf 𝒂:𝒃=𝟑:𝟐, then (𝟓𝒂+𝟐𝒃):(𝟑𝒂+𝟒𝒃) is equal to?

Select the correct answerIf 𝒂:𝒃=𝟑:𝟐, then (𝟓𝒂+𝟐𝒃):(𝟑𝒂+𝟒𝒃) is equal to?Options16:1519:1717:148:7

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