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If the ratio AM to GM of two positive numbers a and b is 5 : 3, then a : b is equal to
  • a)
    3 : 5 
  • b)
    2 : 9 
  • c)
    9 : 1
  • d)
    5 : 3 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the ratio AM to GM of two positive numbers a and b is 5 : 3, then a...

 [ dividing numerator & denominator by b ]

squaring both sides 
9y+9 +18y = 100y
9y2- 82y+ 9 = 0
9y2 -81y - y +9 =0
9y(y-9) -1 (y-9) = 0
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If the ratio AM to GM of two positive numbers a and b is 5 : 3, then a : b is equal toa)3 : 5b)2 : 9c)9 : 1d)5 : 3Correct answer is option 'C'. Can you explain this answer?
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