Final answer:
The question asks us to express Jose's future age in relation to Beatrice's past age using algebra. By setting up an equation and simplifying, we determine that Jose's current age J is equal to twice Beatrice's current age B minus 8 years (J = 2B - 8).
Step-by-step explanation:
The age of Jose in 5 years will be 1 year more than twice Beatrice's age 2 years ago. To find Jose's current age, we need to first let Jose's current age be represented by J, and Beatrice's current age by B. According to the question, in 5 years, Jose's age can be represented as J + 5. Beatrice's age 2 years ago can be represented as B - 2. Therefore, the equation will be J + 5 = 1 + 2(B - 2).
Let's solve this step-by-step:
- Write down the equation given by the problem: J + 5 = 1 + 2(B - 2).
- Simplify the right side of the equation: J + 5 = 1 + 2B - 4.
- Further simplify: J + 5 = 2B - 3.
- Rearrange the equation to find J (Jose's current age): J = 2B - 3 - 5.
- Combine like terms: J = 2B - 8.
Now, with this equation, we can find Jose's age if we know Beatrice's age.