Question

The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin. The total height of the two penguins is 169 centimeters. The emperor penguin is 22 centimeters more than twice the height of the Galápagos penguin. Find the height of each penguin

Answer 1

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