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Question

When the square of a bigger number and the cube of a small number are added, the result is 593. If the square of the smaller number exceeds the bigger number by 55. Find the difference of two numbers.

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 1
Let the larger number be x and the smaller number be y
x2+y3=593 ...(1)
y2x=55 ...(2)
From the second equation, x=y255
Substituting this in the first equation,
y4110y2+3025+y3=593
y4+y3110y2+2432=0
Through hit and trial, we find that y=8 satisfies the above equation (84+83110×82+2432=4096+5127040+2432=0 )
Thus, y=8 and x=8255=9

Thus, the difference between x and y is 1

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