Final answer:
The sister is currently 32 years old as she is twice the age of her 16-year-old brother. In 9 years, when her brother is 25, she will be 41 years old.
Step-by-step explanation:
If a boy is 16 years old and his sister is twice as old, that means his sister is currently 16 × 2 = 32 years old. The question then asks how old will the sister be when the boy reaches 25 years of age.
To find out, we need to determine how many years will pass until the boy is 25 years old. Since the boy is 16 now, it will take him 25 - 16 = 9 more years to reach 25 years of age.
The sister will also age by that amount of time. So, if the sister is 32 now, in 9 years, her age will be 32 + 9 = 41 years old. Therefore, the correct answer is D) 41.
To find the age of the sister when the boy is 25 years old, we need to determine the age difference between the boy and his sister. Since the sister is twice as old as the boy, her age would be 16 x 2 = 32 when the boy is 16 years old. The age difference between the boy and his sister would remain constant over time, so when the boy is 25 years old, his sister would be 25 + 16 = 41 years old.