Answer: [tex]a+(2a-7)=41[/tex]
Step-by-step explanation:
Let be "a" the Nicci's age and "s" the Nicci's sister.
You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:
[tex]a+s=41[/tex]
And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:
[tex]s=2a-7[/tex]
Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.
Then, this is:
[tex]a+(2a-7)=41[/tex]
The equation that represents this relationship is:
3x - 7 = 41
Let Nicci's age be represented by x
Twice Nicci's age = 2x
Nicci's sister's age = 2x - 7
Sum of Nicci's age and her sister's age = x + 2x - 7
Sum of Nicci's age and her sister's age = 3x - 7............(*)
Sum of Nicci's age and her sister's age = 41...........(**)
Compare equations (*) and (**)
3x - 7 = 41
The equation that represents this relationship is:
3x - 7 = 41
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