Maths-
General
Easy

Question

If a to the power of 2 end exponent plus b to the power of 2 end exponent equals 117 blank a n d blank a b equals 54 comma blank t h e n blank fraction numerator a plus b over denominator a minus b end fraction blank i s

  1. 3    
  2. 5    
  3. 6    
  4. 4    

The correct answer is: 5


    We have to find the value of the expression  (a+b)/(a-b)
    Given
    a squared plus b squared equals 117
a b equals 54
W e space k n o w space left parenthesis a plus b right parenthesis squared equals a to the power of 2 end exponent plus b squared plus 2 a b
a n d space left parenthesis a minus b right parenthesis squared equals a squared plus b squared minus 2 a b
s o space a plus b equals square root of 117 plus 2 left parenthesis 54 end root right parenthesis equals 15
a minus b equals square root of 117 minus 2 left parenthesis 54 right parenthesis end root equals 3
H e n c e space left parenthesis a plus b right parenthesis divided by left parenthesis a minus b right parenthesis equals 15 divided by 3
equals 5

    Hence option 2 is correct

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