When one-fourth of a number is added to 16, it becomes three-fourth of itself. Find the number?

a)
24

b)
32

c)
36

d)
48

e)
None of these

Correct answer is option 'B'. Can you explain this answer?

Question

When one-fourth of a number is added to 16, it becomes three-fourth of itself. Find the number?a)24b)32c)36d)48e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Answer

Solution:

Let the number be x.

According to the given condition:

- (1/4)x + 16 = (3/4)x

Solve for x:

- (1/4)x + 16 = (3/4)x

- 16 = (3/4)x - (1/4)x

- 16 = (2/4)x

- 16 = (1/2)x

- x = 32

Therefore, the number is 32.

Answer: B: 32

Answer

Let the no. be X
A/Q
X/4 + 16 = 3X/4
=> (X +64) / 4 = 3X /4
=> 4X + 256 = 12 X
=> 8X = 256
=> X = 32 option ( B )

Answer

Given: One-fourth of a number is added to 16, it becomes three-fourth of itself.

Let's assume the number to be x.

According to the given condition,

1/4 x + 16 = 3/4 x

Simplifying the above equation, we get

3/4 x - 1/4 x = 16

2/4 x = 16

x = 16 * 2

x = 32

Therefore, the number is 32.

Hence, option (b) is the correct answer.

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