Question

if 45 is added to half a number .the result is triple the number.find number

Answer 1

Let the number be 'x'
So, 1/2x+45=3x
so, 45=3x-1/2x
45= 6/2x-1/2x
45=5/2x
45=2.5x
x=45/2.5
x=18

Therefore, x=18

Hope it helps!!!!!!

Answer 2

Answer:

Required number is 18.

Step-by-step explanation:

Given if 45 is added to half a number .the result is triple the number.

Let the number be x.

Half of the number means $\frac{x}{2}$and triple of the number means$3 \times x = 3x$

According to question,

$45 + x \times \frac{1}{2} = 3 \times x$

$45 + \frac{x}{2} = 3x$

We are separating variable and constant part and get,$\frac{x}{2} - 3x = - 45$

We are doing subtraction (by the rule of fraction )

$\frac{x - 6x}{2} = - 45$

$- \frac{5x}{2} = - 45$

$\frac{5x}{2} = 45$

By cross multiplication,

$5x = 45 \times 2 = 90$

$x = \frac{90}{5} = 18$

Therefore the number is 18.