When 24 is Subtracted from a Number, It Reduces to Its Four-Seventh. What is the Sum of the Digits of that Number?

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• Explanation

• Solution

Explanation

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).

To Find

Number = ?

Solution

Let suppose

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

Conclusion

The sum of the digits of that number is 11.