Question

The lifespan of a guinea pig is 6 years less than that of a giraffe. The lifespan of a tiger is 4 times that of the guinea pig. If the total lifespan of the animals is 30 years, calculate the longevity for the giraffe.

Answer 1

Answer

calculate the longevity for the giraffe.

To prove

Let us assume lifespan of a guinea pig = u

Let us assume lifespan of a giraffe = v

Let us assume lifespan of a tiger = w

As given

The lifespan of a guinea pig is 6 years less than that of a giraffe.

The lifespan of a tiger is 4 times that of the guinea pig.

Than

u = v - 6

w = 4u

As given

total lifespan of the animals is 30 years.

than the equation becomes

u + v + w = 30

put the u = v - 6 ,w = 4u in the above equation

v - 6 + v + 4u = 30

put u = v - 6 in the above equation

v-6 + v + 4 × (v - 6) = 30

v - 6 + v + 4v - 24 = 30

6v = 30 + 24 + 6

6v = 60

$v = \frac{60}{6}$

v = 10 years .

Therefore the  longevity for the giraffe is 10 years .