Joe's age, Joe's sister's age and Joe’s fathers age sums up to 100. When Joe is as old as his father, Joe's sister will be twice as old as now. When Joe is as old as his father then his father is twice as old as when his sister was as old as her father. Find the age of Joe's father?
Correct answer: C
Explanation
Joe+Sister+Father=100
After x years joe age is equal to his father
Joe+x = father
Therefore, Sister+x = 2 * Sister
=> Sister=x
Joe+Sister=Father
Therefore,
=> 2*Father = 100
=> Father= 50
Hence (C) is the correct answer
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.