Find the values of x, y and z.
Now add up all 5 equations given below. What do you notice?
b + c + d + e = 4
a + c + d + e = 5
a + b + d + e = 1
a + b + c + e = 2
a + b + c + d = 0
Use the pattern you see in these equations to find the values of a, b, c , d and e.
This problem is adapted from the NRICH task with the same name with permission of the University of Cambridge. All rights reserved.