twenty times a positive integer is less than its square by 96. What is the integer ?
A. 20
B. 24
C. 30
D. Cannot be determined
E. none of these
Answer: Option B
Solution (By Examveda Team)
Let the integer be xThem,
$$\eqalign{ & \Leftrightarrow {x^2} - 20x = 96 \cr & \Leftrightarrow {x^2} - 20x - 96 = 0 \cr & \Leftrightarrow \left( {x + 4} \right)\left( {x - 24} \right) = 0 \cr & \Leftrightarrow x = 24 \cr} $$
This Question Belongs to Arithmetic Ability >> Problems On Numbers
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