Question

when a number added to its halfgives 72.find the number

Answer 1

Answer:

48 is the number

Step-by-step explanation:

Let the number be x.

When added to its half it gives 72

x+x/2=72

We have to make x and x/2 common so

x*2/2+x/2=72

(2x+x)/2=72

3x=72*2

x=144/3

x=48

Hope it helps

Answer 2

Given,

When a number is added to its half gives 72.

Let the number be 'x'.

Half of the number is x/2.

The equation is, x+x/2 = 72

==> 2x+x/2 = 72

==> 3x/2 = 72

==> 3x = 72×2

==> 3x = 144

==> x = 144/3

==> x = 48

Therefore the number is 48.

Proof:

Substitute the value of x in the equation.

x + x/2 = 72

48+48/2 = 72

48+24 = 72

72 = 72

L.H.S = R.H.S

Hence proved.