Question

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

Answer 1

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.

Answer 2

Answer:

Gina=35, Sara=33

Step-by-step explanation:

Gina's number is 2 more than Sara's.

Lets start by saying cookies as the number.

Sum = 2 numbers add together. The answer to the equation. Lik 5+5=10. 10 is the sum.

You only know that Gina has 2 more cookies than Sara.

If Sara has 3 cookies then Gina has 5 cookies. Whats the Sum? 8.

So, you figure out an random big number but, smaller than 68.

Lets do 68 to try now.  So you do 68/2 = 34. You remember that Gina has 2 more than Sara. So, 35 cookies for Gina. So, you can guess that Sara has 33 cookies.