IDNStudy.com, ang iyong mapagkukunan para sa maaasahan at pangkomunidad na mga sagot. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.
Answer:
To determine when Ramona will be half her father's age, we need to set up an equation based on their ages and the passage of time.
Let \( t \) be the number of years from now until Ramona is half her father's age.
Currently, Ramona is 12 and her father is 38.
In \( t \) years, Ramona's age will be \( 12 + t \) and her father's age will be \( 38 + t \).
We need to find \( t \) such that:
\[ 12 + t = \frac{1}{2} (38 + t) \]
To solve for \( t \), follow these steps:
1. Multiply both sides by 2 to eliminate the fraction:
\[ 2(12 + t) = 38 + t \]
2. Distribute and simplify:
\[ 24 + 2t = 38 + t \]
3. Subtract \( t \) from both sides:
\[ 24 + t = 38 \]
4. Subtract 24 from both sides:
\[ t = 14 \]
So, in 14 years, Ramona will be half her father's age.
To find her father's age at that time:
\[ 38 + 14 = 52 \]
Therefore, Ramona's father will be 52 years old when Ramona is half his age.