Question

2/5th of a certain number is added to the number and this sum is subtracted from 108.if the result is the original number, determine the number​

Answer 1

Answer:

270

Step-by-step explanation:

let the number be x

(x+2x/5)-108=x

7x/5-x=108

2x/5=108

x=54*5

x=270

Answer 2

The number is 45

Step-by-step explanation:

• Given that

        Let that number = X

• From question, it is given that 2/5th of a certain number is added to the number

       This can be written in mathematical

        $\mathbf{X+\frac{2}{5}X}$

• After that  this above number is subtracted from 108, means

       $\mathbf{108 - \left ( X+\frac{2}{5}X \right )}$

• After that the resultant number is the original number,this can be written in mathematical

        $\mathbf{108 - \left ( X+\frac{2}{5}X \right )=X}$

• After opening bracket

        $\mathbf{108 -X-\frac{2}{5}X =X}$

        $\mathbf{108 =X+X+\frac{2X}{5}}$

• On solving R.H.S

        $\mathbf{108 =\frac{12X}{5}}$

• On solving above, we get

        X = 45 = This is the number.