In the following questions three equations numbered I, II and III are given.
You have to solve all the equations either together or separately, or two together and one
separately, or by any other method and Give answer
a: x< y=z
b: x ≤ y < z
c: x < y > z
d: x = y > z
e: x = y = z or if none of the above relationship is established
I. $$(x+ y)^{3} = 1331$$
II. $$x-y+z= 0$$
III. $$xy = 28$$
From I : $$(x+ y)^{3} = 1331$$
=> $$(x + y) = \sqrt[3]{1331} = 11$$
=> $$y = 11 - x$$
From III : $$xy = 28$$
=> $$x (11 - x) = 28$$
=> $$x^2 - 11x + 28 = 0$$
=> $$x^2 - 7x - 4x + 28 = 0$$
=> $$x (x - 7) - 4 (x - 7) = 0$$
=> $$(x - 7) (x - 4) = 0$$
=> $$x = 4 , 7$$
From equation I, => $$y = 7 , 4$$
Now, from II : $$z = y - x$$
=> $$z = 3 , -3$$
$$\therefore$$ No relation can be established.
Create a FREE account and get:
Day-wise Structured & Planned Preparation Guide
By proceeding you agree to create your account
Free CAT Schedule PDF will be sent to your email address soon !!!
