Question

Which shows an equation for this situation?

Gary is 3 years older than twice the age of his sister, Elena.
A) G = 6E
B) G = 2E + 3
C) E = 3G + 2
D) G = 3E + 2

Answer 1

The correct equation for the situation where Gary is 3 years older than Elena's age is G = 2E + 3. So the correct option is B

Step-by-step explanation:

The equation that represents the situation where Gary is 3 years older than twice the age of his sister, Elena is G = 2E + 3.

Here is the step-by-step explanation:

1. Let G represent Gary's age.
2. Let E represent Elena's age.
3. According to the problem, Gary is twice the age of Elena, so we multiply Elena's age by 2 (2E).
4. Additionally, Gary is 3 years older than this amount, so we add 3 to the result from step 3 (2E + 3).
5. Thus, the equation that shows the relationship between Gary's and Elena's ages is G = 2E + 3, which matches option B.

Answer 2

Let
G = Gary's age
E = Elena's age
Note:
Twice Elene's age is translated into 2E.
Gary is 3 years older than 2E is translated into 2E + 3.
So the answer is B.