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

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 = 10 years .

Therefore the  longevity for the giraffe is 10 years .

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