Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years younger than his second sister. His brother is 2. How old is Alden?

Question

Mathematics

Jackie

4 December, 15:16

Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years younger than his second sister. His brother is 2. How old is Alden?

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Answers (1)

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Dominic Mejia · Answer 1

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 * 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13