Question

X birds are seated on certain number of branches
of a tree. If 16 birds are to be seated on each branch
then 8 are left to be seated but if 20 birds are to be
seated on each branch, 2 branches are left empty
Find X?​

Answer 1

Answer:

Step-by-step explanation:

Firstly, we need to assign variables to the birds and the number of branches.

Number of birds = x ( as per the question )

Number of branches = y,

Now we can solve the question. To do it, we will need to make equations for total number of birds,

⇒Total number of birds (while 16 birds were sitting at each branch ) = 16y + 8

(we multiply 16 with y because 16 birds each were sitting on y branches, and add 8 because 8 were left to be seated )

⇒Total number of birds (while 20 birds are sitting at each branch) = 20(y-2)

(Here, we multiply the number of birds with the branches, hence y-2 because 2 branches were left empty)

Now, we equate both to get value of y.

16y + 8 = 20 (y-2)

16y + 8 = 20y - 40

48 = 4y

y = 12

Number of birds = 20 ( 12 - 2 )

= 200 birds.

Hence X (number of birds) is 200.

Please mark as brainliest answer. :)))