Question

Jeff is one year older than Erica, and Erica is one year older than Alden. If the sum of their ages is 75, how old is each person? ​

Answer 1

Answer:Jeff is 26 years old

Erica is 25 years old

Alden is 24 years old

Step-by-step explanation:

Let the age of Jeff be x years.

Let the age of Erica be y years.

Let the age of Alden be z years.

Jeff is one year older than Erica. This means that

x = y + 1

Erica is one year older than Alden. This means that

z = y - 1

If the sum of their ages is 75, it means that

x + y + z = 75 - - - - - - - - - - - - 1

Substituting x = y + 1 and z = y - 1 into equation 1, it becomes

y + 1 + y + y - 1 = 75

3y = 75

y = 75/3 = 25 years

x = y + 1 = 25 + 1

x = 26 years

z = y - 1 = 25 - 1

z = 24 years