asked 223k views
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?

asked
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

answered
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.

answered
User Mdonatas
by
8.4k points

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