Final answer:
By setting up and solving equations, Kaido's age is found to be 11 years, Hiroshi's is 17 years, and Saitama's is 51 years, making their age ratio 11:17:51.
Step-by-step explanation:
Let's solve the problem by setting up equations based on the information given:
- Let Kaido's age be k.
- Hiroshi is 6 years older than Kaido, so Hiroshi's age is k + 6.
- Saitama is three times as old as Hiroshi, so Saitama's age is 3(k + 6).
- The sum of their ages is 79: k + (k + 6) + 3(k + 6) = 79.
To find the ages, let's combine like terms and solve the equation:
- k + k + 6 + 3k + 18 = 79
- 5k + 24 = 79
- 5k = 79 - 24
- 5k = 55
- k = 11
Having found Kaido's age, we can calculate Hiroshi's and Saitama's ages:
- Kaido's age (k) is 11 years.
- Hiroshi's age (k + 6) is 17 years.
- Saitama's age (3(k + 6)) is 51 years.
Now, the ratio of their ages is 11:17:51.