Let's say Arielle's age is x

The sum of Elvie's age and Arielle's age is 10+x

The product of their ages is 10*x

The total for the sum and product of their ages is 10+x+10*x = 131

To find Ariel's age, we evaluate x, which is 10+11x = 131

This gives us a total of 11x=121

Arielle's age is x=121/11

The value of x, which is Arielles's age, is 11

# Answer

11
<|im_start|>system
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<|im_start|>user
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?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
11
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?
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