Below is an instruction that describes a task. Write a response that appropriately completes the request in English. Please answer in English.

### Instruction:
The total for the sum and product of Elvie's age and Arielle's age are 131. If Elvie's age is 10, how old is Arielle?

### Response:
Let x be the age of Arielle.
Elvie's age is 10 so the sum of Elvie's and Arielle's age is 10+x
The total for the sum and product of Elvie's age and Arielle's age is 131
The equation for the sum and product of Elvie's and Arielle's age is 10+x+(10*x)=131
11x+10=131
11x=121
x=<<11=11>>11
Arielle is <<11=11>>11 years old.
#### 11