Answer:
There were 15 lions and 19 hyenas.
Step-by-step explanation:
Given: There are total 34 lions and hyenas. Each lion eats 4 antelopes a year. Each hyena eats 3 a year. Also, 117 antelope are eaten in a year.
To find: Number of lions and hyenas
Let number of lions = x, and
number of hyenas = y
According to question,
...(1)
...(2)
From equation (1), .
Substituting in equation (2),
⇒
⇒
⇒
⇒
Put in equation
.
⇒
Hence, there were 15 lions and 19 hyenas.