<human>:  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?
<bot>: Define a variable ** Let's say Arielle's age is x
How old is Elvie? ** The sum of Elvie's age and Arielle's age is 10+x
How old is Elvie? ** The product of their ages is 10*x
Write an equation ** The total for the sum and product of their ages is 10+x+10*x = 131
How old is Arielle? ** To find Ariel's age, we evaluate x, which is 10+11x = 131
Simplify ** This gives us a total of 11x=121
Simplify ** Arielle's age is x=121/11
Simplify ** The value of x, which is Arielles's age, is 11
#### 11