Question

If a number of which the half is greater than 1/5th of the number by 15 then the number is

Answer 1

The number is 50

Given:

Half of the number is greater than $\frac{1}{5} t h$ of the number by 15

To Find:

The number where, half of the number is greater than  $\frac{1}{5} t h$ of the number by 15

Solution:

Consider the number to be x.

Then, the half of the number $=\frac{1}{2} x$

Thus, $\frac{1}{5} t h$ of the number $=\frac{1}{5} x$

From the given data,

$\frac{1}{2} x-\frac{1}{5} x=15$

$\frac{x}{2}-\frac{x}{5}=15$

Now, by taking L.C.M., we get

$\frac{5 x-2 x}{10}=15$

Now, leave the x terms on left hand side and shift the other terms to right hand side, we get

$\begin{array}{c}{3 x=15 \times 10} \\ {3 x=150} \\ {x=\frac{150}{3}} \\ {x=50}\end{array}$

Answer 2

Answer:

Required number (x)=50

Step-by-step explanation:

Let the number = x

$Half\:the \: number = \frac{x}{2}$

$\frac{1}{5} ^{th} \:of\: the \: number = \frac{x}{5}$

Now,

According to the problem given,

$\frac{x}{2}-\frac{x}{5}=15$

$\implies \frac{5x-2x}{10}=15$

$\implies \frac{3x}{10}=15$

$\implies x=15\times \frac{10}{3}$

$\implies x=5 \times 10$

$\implies x = 50$

Therefore,

Required number (x)=50

•••♪