Question

Abigail's and gina's ages are consecutive integers. abigail is younger than gina and gina's age is represented by x. if the difference of the square of gina's age and eight times abigail's age is 17, which equation could be used to fi nd gina's age?

Answer 1

If Gina's age is x and Abigail is younger than Gina, Abigail's age will be represented by x-1 given that their ages are consecutive integers.

Translating the fact that the the difference of the square of Gina's age and eight times Abigail's age is 17, we will have the following equation:

$x^{2} -8(x-1)=17$

We can use the equation above to find Gina's age.