# Diophantus of Alexandria/Arithmetica/Book 1/Problem 17/Solution

## Problem

The sums of $4$ numbers, omitting each of the numbers in turn, are $22$, $24$, $27$ and $20$ respectively

What are the numbers?

## Solution

 $\ds a$ $=$ $\ds 9$ $\ds b$ $=$ $\ds 7$ $\ds c$ $=$ $\ds 4$ $\ds d$ $=$ $\ds 11$