Answer:
20 years.
Explanation:
Let x represent number of years.
We have been given that a baby elephant has a mass of 105 kg, the baby elephant increases in mass by 95 kg per year.
The mass of baby after x years would be
.
The total mass of baby after x years would be
.
We know 1 metric tom equals 1000 kg, so 2 metric ton equals 2000 kg.
Now ,we will equate total mass of elephant by 2000 and solve for x as:
![95x+105=2,000](https://img.qammunity.org/2019/formulas/mathematics/middle-school/efepl46jr0d9jowjy9jh30penyi5cwwaf7.png)
![95x+105-105=2,000-105](https://img.qammunity.org/2019/formulas/mathematics/middle-school/y2qzy5ghif0fo80obycmrgulg2zup1dn01.png)
![95x=1895](https://img.qammunity.org/2019/formulas/mathematics/middle-school/16vtrsfiy246y5qwvh0b0ywrwnmj3kzbp3.png)
![(95x)/(95)=(1895)/(95)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2j3jr6lhzndeuro72le8ldizxhrdxm1jky.png)
![x=19.94736](https://img.qammunity.org/2019/formulas/mathematics/middle-school/k7ufmmia4ztysjwjooziweasy28mdtdice.png)
![x\approx 20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q169fv5z4ydpk0cu0dnexoib318jhdax93.png)
Therefore, it will take 20 years for the baby elephant's mass to increase 2 tonnes.