Question

If one fourth, half and one third of a number are added to the number itself, then result is equal to 25. Find the number.​

Answer 1

Answer:

12

Step-by-step explanation:

Let the number be 'x'

Given x/4, x/3, x/2, x

$= x \div 4 + x \div 2 + x \div 3 + x = 25 \\ = 3x + 6x + 4x + 12x \div 12 = 25 \\ = 25x \div 12 = 25 \\ = x = 25 \times 12 \div 25 \\ = x = 12$

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Answer 2

The number is 12

Step-by-step explanation:

Let the number be x

One fourth of a number = $\frac{x}{4}$

Half of a number = $\frac{x}{2}$

One third of a number =$\frac{x}{3}$

We are given that one fourth, half and one third of a number are added to the number itself, then result is equal to 25.

So,$\frac{x}{4}+\frac{x}{2}+\frac{x}{3}+x=25$

$\frac{3x+6x+4x+12x}{12}=25$

$\frac{25x}{12}=25$

$\frac{x}{12}=1$

x=12

Hence The number is 12

#Learn more:

If the sum of one-half, one-third and one-fourth of a number exceeds the number itself by 4, what could be the number?

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