If (4a – 3b) : (5a – 2b) = 3

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If (4a – 3b) : (5a – 2b) = 3 : 4 , then a : b is equal to ?

Options:

1 : 5

4 : 3

2 : 3

6 : 1

Correct Answer:

6 : 1

Explanation:

⇒ \(\frac{4a - 3b}{5a - 2b}\) = \(\frac{3}{4}\)

⇒ 16a - 12b = 15a - 6b

⇒ a = 6b

⇒ \(\frac{a}{b}\) = \(\frac{6}{1}\) or a : b = 6 : 1