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Ede4ka [16]
3 years ago
10

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 perso

n? ​
Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

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

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