Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
When 24 is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that number?
(a)1
(b)9
(c)11
(d)Data inadequate
(e)None of these
Answer
Answer (as printed):
Explanation
Let the number be $x$. Then, $x-24=\frac{4}{7} x \Leftrightarrow x-\frac{4}{7} x=24$ $$\Leftrightarrow \frac{3}{7} x=24 \Leftrightarrow x=\left(\frac{24 \times 7}{3}\right)=56 \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.