Question

Two-third of a number exceeds its one-fourth by 5.Then the number is?

Answer 1

Let the number be 'x'
According to the question:
2x/3 + 5 = x/4
5 = x/4 - 2x/3
5 = (3x - 8x)/12
12 × 5 = -5x

Therefore, x = -12

Answer 2

Answer:

12

Step-by-step explanation:

Let the number be x

Two -Third of a number = $\frac{2}{3}x$

One - Fourth of a number =  $\frac{1}{4}x$

Since we are given that Two-third of a number exceeds its one-fourth by 5.

$\Rightarrow \frac{2}{3}x =\frac{1}{4}x +5$

$\Rightarrow \frac{2}{3}x -\frac{1}{4}x =5$

$\Rightarrow \frac{8x-3x}{12}=5$

$\Rightarrow \frac{5x}{12}=5$

$\Rightarrow 5x = 5 \times 12$

$\Rightarrow 5x = 60$

$\Rightarrow x = \frac{60}{5}$

$\Rightarrow x = 12$

Hence the number is 12