211k views
3 votes
Sanjay will be 3 times as old as he was 4 years ago after 18 years, find his present age

User Pruett
by
4.5k points

1 Answer

1 vote

Answer:

15 years

Explanation:

Let x = Sanjay's present age.

Given information:

  • Sanjay will be 3 times as old as he was 4 years ago after 18 years.

Create an equation with the defined variable and the given information:

⇒ 3(x - 4) = x + 18

Apply the Distributive Property of Subtraction:

⇒ 3(x) - 3(4) = x + 18

⇒ 3x - 12 = x + 18

Subtract x from both sides:

⇒ 3x - 12 - x = x + 18 - x

⇒ 2x - 12 = 18

Add 12 to both sides:

⇒ 2x - 12 + 12 = 18 + 12

⇒ 2x = 30

Divide both sides by 2:

⇒ 2x ÷ 2 = 30 ÷ 2

⇒ x = 15

Therefore, Sanjay's present age is 15 years.

User Ahmed Boutaraa
by
3.7k points