Question

A game decreased in price by
1/3.
After the reduction it was priced at £18.
What was the original price of the game?​

Answer 1

$\small{\textsf{\textbf{\underline{\underline{➪The original price of the game is £ 54.\::}}}}}$

Step-by-step explanation:

Given that:

• A game decreased in price by 1/3.
• After the reduction it was priced at £ 18.

To Find:

• What was the original price of the game?

Let us suppose:

• The original price of the game be x.

Finding the original price of the game:

According to the question.

⟶ 1/3 of x = 18

⟶ x/3 = 18

⟶ x/3 = 18/1

Cross multiplication.

⟶ x × 1 = 18 × 3

⟶ x = 54

∴ The original price of the game = $\Large{\textsf{\textbf{\underline{\underline{£ 54\::}}}}}$

verification:-

$⟶\frac{1}{3} \times y = 18 \\ ⟶by \: putting \: y \: we \: get \: 54 \\ ⟶ \frac{1}{3} \times 54 = 18 \\ ⟶\frac{54}{3} = 18 \\ ⟶by \: doing \: cross \: multiplication \: we \: get \\ ⟶54 = \frac{3}{18} \\ ⟶54 = 54$

${ \large{ \red{ \underline{ \pmb{ \frak{Thence.verified.... }}}}}}$