Question

two thirds of a number is 8,less than four-fifth of it. find the number. ​

Answer 1

Answer:

The required number is 60.

Step-by-step explanation:

Let, the number be x.

Two third of the number = 8 less than four fifth of the number

Equation : ( 2x / 3 ) = ( 4x / 5 ) - 8

         ==>  ( 2x / 3 ) - ( 4x / 5 ) = - 8

         ==>  (10x - 12x) / 15 = - 8

         ==>   - 2x / 15 = - 8

         ==>  2x = 120

            ∴   x = 60

     

               

Answer 2

Answer:

60

Step-by-step explanation:

let required number is x

According to question

$\frac{2}{3} \times x \: = (\frac{4}{5} \times x ) \: - \: 8$

$\frac{2x}{3} = \frac{4x}{5} - 8 \\ \\ \frac{2x}{3} = \frac{4x - 40}{5}$

$2x \times 5 = (4x - 40) \times 3 \\ 10x = 12x - 120 \\ 120 = 12x - 10x \\ 120 = 2x \\ x = \frac{120}{2} \\ x = 60$

So required number is 60.