Answer:
The average weight of new born otter was,
![1(31)/(40)](https://img.qammunity.org/2020/formulas/mathematics/high-school/vzd1l4igmxvl2hegpa7ul7ddx62lf18x8w.png)
Explanation:
Let average weight of new born otter be x.
As per the given statement: At birth it's weight was 7/8 kilograms which is 9/10 kilogram less than the average weight of a new born otter in the aquarium
"
kg less than average weight of a new born otter" means
![x-(9)/(10)](https://img.qammunity.org/2020/formulas/mathematics/high-school/93idlhjeqzwm3zdb9qnj5cjw7fgwp9g4ty.png)
As per the given information, we have;
![(7)/(8) = x -(9)/(10)](https://img.qammunity.org/2020/formulas/mathematics/high-school/dqm4ozzj9i1gvmfeo0htbwi5oiog2y1ttt.png)
Add
both sides, we have;
![(7)/(8) + (9)/(10) = x](https://img.qammunity.org/2020/formulas/mathematics/high-school/32v3cm8cegj2st0mcy5f3krf0x3g0wjnlh.png)
Take LCM of 8 and 10 is, 40
⇒
![(35+36)/(40)=x](https://img.qammunity.org/2020/formulas/mathematics/high-school/4sktuei3k912fj9yqmrmrgvlcu2i08xl2i.png)
Simplify:
![x = (71)/(40) = 1(31)/(40)](https://img.qammunity.org/2020/formulas/mathematics/high-school/lpgq7qxmoahs0n9qlhctsbyfy4iazily90.png)
Therefore, the average weight of new born otter was,
![1(31)/(40)](https://img.qammunity.org/2020/formulas/mathematics/high-school/vzd1l4igmxvl2hegpa7ul7ddx62lf18x8w.png)