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Manipal MET2024MathematicsBasics of Mathematics

a b = 1 3 and b c = 3 4 , then the value of a+2 b b+2 c is

Options

  1. A28 33
  2. B7 11
  3. C1 2
  4. DNone of these

Correct answer

B. 7 11

Step-by-step solution

a b = 1 3 b=3 a and b c = 3 4 3 a c = 3 4 a c = 1 4 c=4 a Then, a+2 b b+2 c = a+2(3 a) (3 a)+2(4 a) = a+6 a 3 a+8 a = 7 a 11 a = 7 11

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