If x : y = 3 : 2, then the ratio 2x²+ 3y²: 3x² – 2y² is equal   to-

  1. 12 : 15
  2. 6 : 5
  3. 30 : 19
  4. 5 : 3
Anurag Mishra Professor Asked on 22nd January 2016 in Maths.
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1 Answer(s)

Answer: (3) 30: 19 

Explanation:-
X : Y = 3: 2
Then, X = 3 and Y = 2
(2X2 + 3Y2) : (3X2 – 2 Y2)

Pu the value of X = 3 & Y = 2,
Then, (2 x 32 + 3 x 22) : (3 x 32 – 2 x 22)
 = (2 x 9 + 3 x 4) : (3 x 9 – 2 x 4)
 = (18 + 12) : (27 – 8)
 = 30: 19

Then, the value of (2X2 + 3Y2) : (3X2 – 2 Y2) is 30: 19. 

Hence, the correct answer is option (3) 30: 19. 

Anurag Mishra Professor Answered on 22nd January 2016.
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