Answer:
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age
Step-by-step explanation:
Let us solve the question
Assume that Erik is x years old
∵ Erik is x years old
∵ Erik is [tex]\frac{1}{3}[/tex] as old as Dawn
→ That means x = [tex]\frac{1}{3}[/tex] Dawn
∴ x = [tex]\frac{1}{3}[/tex] Dawn
→ Multiply both sides by 3
∴ 3x = Dawn
∴ Dawn is 3x years old
∵ Jiro is 4 years younger than Erik
→ That means Jiro = x - 4
∴ Jiro is (x - 4) years old
∵ Alita is 2 times as old as Jiro
→ That means Alita = 2 × (x - 4)
∴ Alita = 2 × (x - 4)
∴ Alita is 2(x - 4) years old
∵ The sum of all their ages is 72
→ That means add their ages and equate the sum by 72
∴ Erike's age + Dawn's age + Jiro's age + Alita's age = 72
∴ x + 3x + (x - 4) + 2(x - 4) = 72
The equation that represents this situation is x + 3x + (x - 4) + 2(x - 4) = 72, where x is Erik's age
