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4 votes
Three friends all have ages that are consecutive integers. The sum of their

ages is 57. What is the age of the oldest friend?

User Latif
by
8.6k points

2 Answers

3 votes

Answer:

20 years old

Explanation:

3x + 3 = 57

3x = 54

x = 18

X + 2 = 18 + 2

Answer = 20 years old

User Post Impatica
by
7.9k points
2 votes

Answer:

Friend C would be 20 years old

Explanation:

Consecutive integers are integers that follow each other

In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:

A + B + C = 57

If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:

A + (A + 1) + (A + 2) = 57

3A + 3 = 57

3A = 54

A = 18

So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.

User Mdonatas
by
8.4k points

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