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When 24 is subtracted from a number, it reduces to its four-seventh.
The sum of the digits of that number can be figure out as:
Let suppose the number is y.
Number reduces to four-seventh, when 24 is subtracted
y – 24 = 4y/7 ________ (i)
Value of y can be find out easily from equation (i) by just simplifying it (y = 56).
Number = ?
Number = y
According to the given condition
y – 24 = 4y/7
7(y – 24) = 4y
7y – 168 = 4y
7y – 4y = 168
3y = 168
y = 56
The sum of the digits of 56
Required Sum = 5 + 6 = 11 answer
The sum of the digits of that number is 11.