If a/3 = b/2 then value of is 2a+3b/3a-2b is?

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If a/3 = b/2 then value of is 2a+3b/3a-2b is? Answer: 12/5

Given: a/3 = b/2 Cross-multiply: 2a = 3b → a = (3b)/2 Now plug this value of a into the expression: (2a + 3b) / (3a - 2b) = [2(3b/2) + 3b] / [3(3b/2) - 2b] = (3b + 3b) / (9b/2 - 2b) = 6b / [(9b - 4b)/2] = 6b / (5b/2) = 6b × (2/5b) = 12/5

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the PPSC Punjab Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.