Question

when a number is divided by 3 and 5 is added to it answer is twice the number find the number​

Answer 1

this is ur answer,,

Answer 2

■ Solution is done below :

Let us solve the problem algebraically.

  • We consider the number to be x

  • When the number is divided by 3, the number be $\frac{x}{3}$

  • 5 is added to $\frac{x}{3}$ so the new number is $\frac{x}{3}+5$

  • The number $\frac{x}{3}+5$ is twice the considered number x, i.e., it equals to 2x

  • Finally we have an equation

  $\frac{x}{3}+5 = 2x$ .....(i)

  ⇒ $\frac{x+15}{3} = 2x$

  ⇒ x + 15 = 6x

  ⇒ 6x - x = 15

  ⇒ 5x = 15

  ⇒ x = $\frac{15}{5}$

  ⇒ x = 3

Therefore, the number is 3

■ Verification :

We put 3 in (i) no. equation. We get

  $\frac{3}{3}+5 = 2*3$

  ⇒ 1 + 5 = 6

  ⇒ 6 = 6

Thus, verified.