Question

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

Answer 1

Answer:

60

Step-by-step explanation:

Let the original number be x.

According to the question we can write as (2/3)x+20x

On rearranging x−(2/3)x=20

Now taking the L.C.M od 1 and 3 is 3

(3x−2x)/3=20

x/3=20

Again by transposing x=60

So, the original number is 60

Answer 2

To find : original number

Given :  $\frac{2}{3}$ of a number is $20$ less than the original number.

Solution :  

• Let , $x$ be the original number .
• According to given question we know that $\frac{2}{3}$ of a number is $20$ less than the original number .
• We represent given condition as , $\frac{2 }{3}\times x =x -20$
• Using transposition method we find the value of $x$ .
• In this method , we take constants at RHS and variable at LHS.  

• $\frac{2 }{3}\times x =x -20$  

      $\frac{2x}{3} -x = -20 \\\\ \frac{2x-3x }{3} = -20 \\\\\frac{-x}{3} = -20 \\\\\-x = -60 \\\\x = 60$

Hence , original number is $60$ .