Question

Nicci's sister is 7 years less than twice Nicci's age,a. The sum of Nicci's age and her sister's age is 41. Which equation represents this relationship?1- a + (7 - 2a) =41 2- a + (2a - 7) = 41 3- 2a - 7 = 41 4 - a = 2a - 7

Answer 1

hello

to solve this problem, let's try to write out an equation to represent their age.

let Nicci's age be represented by a

2a - 7 = x.....equation 1

x = Nicci's sister's age

the sum of Nicci's age and her sister = 41

x + a = 41.....equation 2

now let's substitute x into equation 2

`\begin{gathered} x+a=41 \\ x=2a-7 \\ 2a-7+a=41 \\ a+(2a-7)=41 \end{gathered}`

from the equation above, the answer is the second option.