Latest Maths Aptitude Question SOLUTION: Find the least value of 3x + 4y, if (x^2)(y^3) = 6 .

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(#M40152403) MATHS Numerical Ability question Numerical Abilities Keep an EYE

Find the least value of 3x + 4y, if (x^2)(y^3) = 6 .

Asked In Maths Niranjan kumar (8 years ago)

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SHILPI SINGH  (7 years ago)

Arithmetic Mean of (3x/2, 3x/2, 4y/3, 4y/3, 4y/3) >= Geometric Mean of (3x/2, 3x/2, 4y/3, 4y/3, 4y/3)

=> (3x/2+3x/2+4y/3+4y/3+4y/3)/5 >= (3/2*3/2*4/3*4/3*4/3*6)^(1/5)

=> (3x + 4y)/5 >= (2^5)^(1/5)

=> (3x + 4y)/5 >= 2

=> (3x + 4y) >=10
=> Minimum Value of (3x + 4y) = 10

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