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denis-greek [22]
3 years ago
13

The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin. The total height of the tw

o 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
Mathematics
1 answer:
raketka [301]3 years ago
3 0

The height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

<em><u>Solution:</u></em>

Given that The largest species of penguins is the emperor penguin. One of the smallest is the Galápagos penguin

<em><u>To find: height of each penguin</u></em>

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

<h3>e = 120</h3>

Thus from eqn 3,

g = 169 - 120

<h3>g = 49</h3>

Thus height of emperor penguin is 120 cm and height of galapagos penguin is 49 cm

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