Too many birds, too many trees!
A flock of birds flies into a forest that has a lot of trees.
If each tree is occupied by 1 bird, there is an excess of 312 birds. If each tree is occupied by 2 birds, there is an excess of 312 trees.
How many birds and trees are there in total?
The answer is 2184.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Let the total number of birds be b and the total number of trees be t .
From the question, we can form two equations:
b − t = 3 1 2 t − 2 1 b = 3 1 2
Adding both equations will result in:
2 1 b = 6 2 4 ∴ b = 1 2 4 8
Substituting back the value of b into the first equation, we have: 1 2 4 8 − t = 3 1 2 t = 1 2 4 8 − 3 1 2 ∴ t = 9 3 6
Therefore, b + t = 1 2 4 8 + 9 3 6 = 2 1 8 4