Question

Find the number whose one fourth part exceeds in one sixth part by 30

Answer 1

Let the number be 'x '

Fourth part of a number = x/4

Sixth part = x/ 6

According to the condition of the problem

x/4 =( x/6) +4

x/4 -x/6 = 4

(6x-4x)/24 = 4

2x/24 =4

x/12 = 4

x = 12*4

x = 48

Ans : The number is 48

Answer 2

Answer:

• The required number is 360

Step-by-step explanation:

Let x be the required number

$\mathtt{Given \: that \: \frac{x}{4} \: exceeds \: by \: \frac{x}{6} + 30}$

In equation from we have to write like this.

$\\ \sf : \implies \frac{x}{4} = \frac{x}{6} + 30$

$\\ \sf : \implies \frac{x}{4} - \frac{x}{6} = 30$

$\\ \sf : \implies \frac{6x - 4x}{24} = 30$

$\\ \sf : \implies \frac{2x}{24} = 30$

$\\ \sf : \implies \: x = 30 \times \frac{24}{2}$

$\\ \sf : \implies \: x = 15 \times 24$

$\\ : \implies \: \red{\boxed{ \green {\sf{x = 360}}}}$

Hence, the required number is 360.