Marty is 3 years younger than 6 times his friend Warrens age. The sum of their ages is greater than | MathCelebrity Forum

Marty is 3 years younger than 6 times his friend Warrens age. The sum of their ages is greater than

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Marty is 3 years younger than 6 times his friend Warrens age. The sum of their ages is greater than 11. What is the youngest age Warren can be?

Let m be Marty's age and w be Warren's age. We have two equations:
(1) m = 6w - 3
(2) m + w > 11

Plug (1) into (2)
6w - 3 + w > 11

Combine w terms
7w - 3 > 11

Add 3 to each side
7w > 14

Divide each side by 7
w > 2 which means w = 3 as the youngest age.
 
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