Question

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. None of these

Answer 1

Answer: (C)

$11$

Let the number be $x$
When $24$ is subtracted from a number, it reduces to its four-seventh.
$\therefore$ $x-24=\frac{4}{7}x$
$\therefore$ $x=56$
Hence, sum of digits is $5+6=11$