If (2a – 3b) : (3a – 4b) = 4

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

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

Options:

2 : 1

4 : 3

7 : 6

6 : 5

Correct Answer:

7 : 6

Explanation:

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

⇒ 6a - 9b = 12a - 16b

⇒ 6a = 7b

⇒ \(\frac{a}{b}\) = \(\frac{7}{6}\) or a : b = 7 : 6