Find all pairs x y of real numbers such that 16 x 2 y 16 x y 2 1

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The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?

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Latest NTSE Aptitude Question SOLUTION: Find all pairs(x,y) of real numbers such that 16^[(x^2)+y]+16^[x+(y^2)]=1

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(#M40005674) NTSE question No. System Keep an EYE

Find all pairs(x,y) of real numbers such that
16^[(x^2)+y]+16^[x+(y^2)]=1

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