A number gets reduced to its two-third when 24 is subtracted from it. Find oneeighth of the number?a)7b)8c)9d)10e)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

a – 24 = 2a/3
we get a = 72
so one-eighth of the number = 72/8 = 9

Answer

Given: A number gets reduced to its two-third when 24 is subtracted from it.

Let the number be x.

According to the given condition, we can write:

x - 24 = (2/3)x

Multiplying both sides by 3, we get:

3x - 72 = 2x

Simplifying, we get:

x = 72

We need to find one-eighth of the number, which is:

(1/8) x 72 = 9

Therefore, the answer is option (c) 9.

Answer

Subtracting 24 gives 2/3 of the number.
It means that 24 is 1/3 of the number.
It means that the number is (24×3)= 72
Now 1/8 of the number is (72/8)=9.

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