Question

Trisha has three brothers. The first brother is three years older than Trisha, the second brother is three years younger than Trisha, and the third brother is one-third Trisha's age. Trisha's father is three times Trisha's age. Trisha, her three brothers, and her father are a combined total of 95 years old. How old is Trisha?

Answer 1

Let's start by assigning variables to the unknown ages:Trisha's age = TAge of Trisha's first brother = T + 3Age of Trisha's second brother = T - 3Age of Trisha's third brother = T/3Age of Trisha's father = 3TWe know that the sum of all their ages is 95:T + (T + 3) + (T - 3) + T/3 + 3T = 95Combining like terms, we can simplify this equation:8T + T/3 = 92Multiplying both sides by 3 to get rid of the fraction:24T + T = 276Simplifying again:25T = 276Dividing both sides by 25:T = 11.04So Trisha is 11.04 years old.We can check our answer by plugging it back into the original equation and verifying that the sum of all their ages is indeed 95:T + (T + 3) + (T - 3) + T/3 + 3T = 95

11.04 + (11.04 + 3) + (11.04 - 3) + 11.04/3 + 3(11.04) = 95

95 = 95The sum of their ages is 95, so our answer is correct. Therefore, Trisha is 11.04 years old.

Explanation: