Question

50% of a number is 18 less than two-thirds of a number, then the number

Answer 1

Answer:

Let the unknown number be x

then...

50/100x = 2/3x-18

50/100x-2/3x = -18

150/300x-200/300x = -18

-50/300x = -18

50/300x=18

1/6x = 18

x = 18x6

  = 108

Verification

50% of 108

= 50/100 x 108

= 1/2 x 108

= 54

2/3 of 108

= 2/3 x 108

= 2x36

= 72

72-18 = 54

Answer 2

Answer:

⇒ the required number is 108

Step-by-step explanation:

Given problem

50% of a number is 18 less than two thirds of a number then find the number

Let x be the required number  

from given data

50% of x is 18 less than the 2/3 rd of x  

⇒ write the above sentence in mathematical expression

⇒ $\frac{50x}{100} = \frac{2x}{3} -18$  

⇒  $\frac{2x}{3} - \frac{50x}{100} = 18$  

⇒  $\frac{2x}{3} - \frac{x}{2} =18$  

⇒   $\frac{4x-3x}{6}$ = $18$

⇒   $4x - 3x = 18(6)$

⇒    x = 108

⇒ the required number = 108