Question: While solving a problem, by mistake, Anita squared a number and then subtracted 25 from it rather than first subtracting 25 from the number and then squaring it. But she got the right answer. What was the given number?
Options:
A) 13
B) 38
C) 48
D) Cannot be determined
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the given number be x.
Then, $ {{(x-25)}^{2}}=x^{2}-25 $
$ \Rightarrow $ $ x^{2}+625-50x=x^{2}-25 $
$ \Rightarrow $ $ 50x=650 $
$ \Rightarrow $ $ x=\frac{650}{50}=13 $