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Question

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


Options:
A .  1
B .  9
C .  11
D .  Data inadequate
E .  None of these
Answer: Option C

Let he number be `x`. Then

`x` - 24= `4/7 x`   `hArr`   `x - 4/7 x` = 24 `hArr`  `3/7 x` = 24 `hArr`   `x` = `((24 xx 7)/(3))` = 56.

`:.` Sum of the digits =5  + 6 = 11.




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