Question

2. (1) If 3 is added to a number and the sum is multiplied by 5, the number thus obtained is 575. Find the original number.​

Answer 1

Answer:  number  = 112

Step-by-step explanation: Lets consider the number as x

                                            5(x+3)=575

                                               5x+15=575

                                                5x =575-15

                                                   x=112

Answer 2

Answer:

∴ The original number is $112$.

Step-by-step explanation:

In context with question asked,

• We have to find the original number.
• The condition given is that "If $3$ is added to a number and the sum is multiplied by $5$, the number thus obtained is $575$."
• Let, $x$ be the original number.
• According to given condition, the required equation is,

      $5(x+3)=575$

• Opening the brackets, we get

       ∴ $5x+15=575$

• Transposing $15$ to other side, we get

            ∴ $5x=575-15$

            ∴ $5x=560$

• Transposing $5$ to other side, we get

             ∴ $x=\frac{560}{5}$

             ∴ $x=112$

• ∴ The original number is $112$.