Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. | MathCelebrity Forum

Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.

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Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.

Let Victoria's age be v. And her neighbor's age be n. We're given:
  1. v = n + 4
  2. v + n <=14 <-- no more than means less than or equal to
Substitute Equation (1) into Inequality (2):
(n + 4) + n <= 14

Combine like terms:
2n + 4 <= 14

Typing this inequality into our search engine, we get:
n <= 5

Substituting this into inequality (2):
v + 5 <= 14

Typing this inequality into our search engine, we get:
v <= 9
 
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