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If a/3 = b/2 then value of is 2a+3b/3a-2b is?
  1. 12/5
  2. 10/7
  3. 11/6
  4. None of these
Explanation

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


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