David’s age is 7 years more than three times Bree’s age. If the product of their ages is 110, how old is David?

Step-by-step explanation:

Bree's age = x

David's age= 3x+7

x*(3x+7)=110

3x² + 7x =110

3x² + 7x - 110 = 0

3x² - 15x +22x - 22*5 = 0

3x*(x - 5) +22 (x - 5) = 0

(x - 5) (3x + 22) = 0

x - 5 = 0     { 3x + 22 = 0 is not considered as age wont come in negative}

x = 5

Bree's age = 5 years

David's age = 3x + 7 = 3*5 + 7 = 15 + 7 = 22 years

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step-by-step explanation: