Question

2/3 of a number is less than than the original number by 20 . Find the number

Answer 1

Answer:

Number is 60

Step-by-step explanation:

Let the number be x .

we have given that the 2/3 of the actual no. is 20 less than the actual number.

From this we can make an equation like this - 2x/3 = x - 20

How i got this equation ?

  as i am assuming the actual number as x , so its 2/3rd part will be surely

x * 2/3 .

∵ the 2/3 rd part of the actual no. is 20 less than the actual number, we derive 2x/3 = x - 20 .

Solution :-

x - 20 = 2x/3

(x - 20)3 = 2x

3x - 60 = 2x

x = 60

Verification :-

x = 60 ____[ eq. i ]

x - 20 = 2x/3 _____[ eq. ii]

[ substituting the value of eq. i in eq ii ]

60 - 20 = 2 * 60 / 3

40 = 40

LHS = RHS