When 24 is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that… · ABC26GN1656
Subject: General Aptitude · Chapter: Problems on Numbers
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
No answer key was printed for this question.
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.