Question

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

Tel how this Question will solve ?​

Answer 1

$\underline \bold \red{Given :}$

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

$\underline \bold \red{To \:Find :}$

What is the sum of the digits of that number?

$\underline \bold \red{Solution: }$

Let the number be x

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

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

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

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

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

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

$3x=24 \times 7$

$3x=168$

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

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.