Question

2/3of a no. Is 20less than the original no. Find the no.

Answer 1

60

Step-by-step explanation:

Let the no. be 'x'.

A/q the question,

2/3 x = x - 20

Or, 20= x - 2/3 x

Or, 20= x/3

Or, x= 20×3 = 60

Therefore,the no. is 60

Answer 2

Answer: 60

Let the original number be 'x'

According to the question,

• (2/3)rd of 'x' is 20 less than x

In terms of equation we can write it as:

$\implies (\dfrac{2}{3} \times x) = ( x - 20 )$

Solving the above equation we get:

$\implies \dfrac{2x}{3} = ( x - 20 )\\\\\text{Cross multiplying 3 to RHS we get,}\\\\\implies 2x = 3 ( x - 20 )\\\\\implies 2x = 3x - 60\\\\\implies 60 = 3x - 2x\\\\\implies \boxed{x=60}$

Hence the original number 'x' is equal to 60.

Verification:

$\implies (\dfrac{2}{3} \times 60 ) = ( 60 - 20 )\\\\\\\implies \dfrac{120}{3} = 40\\\\\\\implies \boxed{40 = 40}\\\\\\\textbf{LHS = RHS}$