Question

if 45 is added to a half number, the result is thrice the number. find the number.​

Answer 1

Step-by-step explanation:

1x/2 + 45 = 3x

=) 1x/2 - 3x = -45

=) (x-6x)/2 = -45

=) -5x/2 = -45

=) x = -45 x (2/-5)

= 18

Hope it helps

Answer 2

Step-by-step explanation:

$✮ \: \large\mathscr{Given}$

• if 45 is added to a half number, the result is triple the number

$✮ \large\mathscr{Find}$

• The number

$✮ \large\mathscr {Instructions}$

Let us assume the number as x

Half of the number

$= \small\rm{ \frac{x}{2} }$

After adding 45, we get $\frac{x}{2}+45$

$✮\large\mathscr{Explanation}$

$\frac{x}{2}+45$ will be equal to 3x

$⇛ \small\rm{ \frac{x}{2} + 45 = 3x }$

$⇛ \small\rm{3x - \frac{x}{2} = 45 }$

$⇛ \small\rm{ \frac{6x - x}{2} = 45}$

$⇛ \small\rm{ 5x = 45 \times 2}$

$⇛ \small\rm{5x = 90}$

$⇛ \small\rm{x = \frac{90}{5} = 18}$

$\small\rm{x = 18}$