Gina's number is 2 more than sara's. the sum of their numbers is 68. what are their numbers?

In order to solve this problem, we transform the statements into algebraic expressions. First, we assign the variables.

Let:

x = Gina’s number

y = Sara’s number

For the first equation, we show that Gina’s number is greater than Sara’s number by 2. For the second equation, we show that the sum of both numbers is 68.

(1) x - y = 2

(2) x + y = 68

We add the two expressions, which result in the expression: 2x = 70. Then we divide 70 by 2 to get the value of x. We then have x = 35. Using the second equation, we solve for y = 68-35. This gives y = 33. To summarize, Gina’s number is 35 while Sara’s number is 33.