Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary's age. Create and inequality for this situation

Question

Rambo

Mathematics

7 December, 11:58

Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary's age. Create and inequality for this situation

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Saul Blackwell · Answer 1

Let the two ages be j and m, respectively. Then j+m>32.

Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).

Continue solving for m: Adding m to both sides of this inequality results in

2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.