Answer :
The word sentence as an equation is: [tex]\(84 = c - 99\).[/tex]
To solve for c:
[tex]\(c = 84 + 99 = 183\).[/tex]
The word sentence "84 is 99 fewer than a number c" can be translated into the equation [tex]\(84 = c - 99\).[/tex]
In this equation, c represents the unknown number. We're told that 84 is 99 fewer than c, which means if we take 99 away from c, we get 84.
To solve for c, we can add 99 to both sides of the equation to isolate c:
[tex]\[c = 84 + 99\]\[c = 183\][/tex]
So, the solution is [tex]\(c = 183\).[/tex] This means the number c that satisfies the condition is 183.