The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm
Solution:
Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin
To find: height of each penguin
From given question,
Let "e" be the height of emperor penguin
Let "g" be the height of galapagos penguin
Total height of two penguins = 169 centimeter
Therefore,
height of emperor penguin + height of galapagos penguin = 169
e + g = 169 ---- eqn 1
The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin
height of emperor penguin = 22 + 2(height of galapagos penguin)
e = 22 + 2g --- eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
g = 169 - e ------- eqn 3
Substitute eqn 3 in eqn 2
e = 22 + 2(169 - e)
e = 22 + 338 - 2e
e + 2e = 360
3e = 360
e = 120
Thus from eqn 3,
g = 169 - 120
g = 49
Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm