Solving Equations

Algebra Level 1

X 1 / 2 + 6 = 31 X^{1/2} + 6 = 31
Y 1 / 3 + X = 632 Y^{1/3} + X = 632
Z 1 / 4 + Y = 345 Z^{1/4} + Y = 345
What is X + Y + Z X + Y + Z ?


The answer is 984.

Maxwell Johnson by Maxwell Johnson , 21, United Kingdom

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1 solution

Maxwell Johnson
Jun 17, 2014

(X^1/2) = 25

X = 625

(Y^1/3) + 625 = 632

(Y^1/3) = 7

Y = 343

(Z^1/4) + 343 = 345

(Z^1/4) = 2

Z = 16

X + Y + Z = 984

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