Question

Alita is 2 times as old as Jyro. Jyro is 4 years younger than Eric. Eric is 1/3 as old as Dawn. The sum of their ages is 72. What are each of their ages?

Answer 1

Jyro is 8 years old, Alita is 16 years old, Eric is 12 years old, and Dawn is 36 years old.

Step-by-step explanation:

Let's assign variables to each person's age:

Jyro's age = x

Alita's age = 2x

Eric's age = x + 4

Dawn's age = 3(x + 4) = 3x + 12

According to the sum of their ages, we have:

x + 2x + x + 4 + 3x + 12 = 72

Combine like terms:

7x + 16 = 72

Subtract 16 from both sides:

7x = 56

Divide both sides by 7:

x = 8

Jyro's age = x = 8

Alita's age = 2x = 2 * 8 = 16

Eric's age = x + 4 = 8 + 4 = 12

Dawn's age = 3(x + 4) = 3 * (8 + 4) = 3 * 12 = 36