Mr. Thaxton has two daughters. The sum of their ages is twenty-one. The product of their ages is one hundred ten. How old is Mr. Thaxton's youngest daughter?

The youngest daughter is 10

10 ( brainliest please)

Step-by-step explanation:

x + y = 21  

xy = 110  

Rewrite first equation. x + y = 21 becomes y = -x + 21  

Now substitute this new equation in the second equation.  

x(-x+21) = 110  

-x^2 + 21x - 110  

Divide by -1  

x^2 - 21x + 110  

(x - 10)(x - 11)  

x = 10, 11  

10 is less, so the youngest daughter is 10

-14 is the answer

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answer are

step-by-step explanation: