Maths
Maths Puzzle
Numerical Ability
Sequence and Series
Find the least value of 3x + 4y, if (x^2)(y^3) = 6 .
Read Solution (Total 1)
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- 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 - 7 years agoHelpfull: Yes(1) No(1)
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