8th Class
Mathematics
Algebraic Expressions
Question Bank
Algebra
question_answer
In an examination a student was asked to find \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc\] th of a certain number. By mistake, he found \[x:\frac{x-a}{b+c}+\frac{x-b}{c+a}+\frac{x-c}{a+b}=3\] of it. His answer was 150 more than the correct answer. The number is
A)290
B)280
C)240
D)180
Correct Answer:
B
Solution :
Let the required number be x. We have \[\frac{bx}{a}\] \[\frac{1}{5}th\] \[\frac{1}{4}th\]