Question

When 24 is subtracted from a number, it reduces to its four-seventh. What is the sum of the digits of that number?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

11

Step-by-step explanation:

Given : When 24 is subtracted from a number, it reduces to its four-seventh.

To Find :What is the sum of the digits of that number?

Solution:

Let the number be x

Four - Seventh of a number = $\frac{4}{7}x$

We are given that When 24 is subtracted from a number, it reduces to its four-seventh.

So, $x-24=\frac{4}{7}x$

$x-\frac{4}{7}x=24$

$\frac{7x-4x}{7}=24$

$\frac{3x}{7}=24$

$3x=24 \times 7$

$3x=168$

$x=\frac{168}{3}$

$x=56$

Thus the number is 56

Now we are supposed to find the sum of the digits of the number

So, 5+6=11

Hence  the sum of the digits of that number is 11.