A man is twice as old as his little sister. He is also half as old as their dad. Over a
period of 50 years, the age of the sister will become half of their dad’s age. What is
the age of the man now?
Answers
Let the age of his sister is 1
And the man age is twice then his sister so it will be 2
And the man 's dad age is twice then the man age so it will be 4
After 50 years the age of man is 50+2=52
Answer:
The age of the man now is 50 years.
Step-by-step explanation:
Let's assume the age of the little sister is "x" years. According to the problem:
The age of the man is twice as old as his little sister, so his age is 2x years.
The man is also half as old as their dad, so their dad's age is 2(2x) = 4x years.
The sister's age will match their father's age in half after 50 years, so:
x + 50 = (1/2)(4x + 50)
Simplifying this equation, we get:
2x + 100 = 4x + 50
2x = 50
x = 25
Therefore, the little sister is currently 25 years old. Using this information, we can find the age of the man and their dad:
The age of the man is 2x = 2(25) = 50 years.
The age of their dad is 4x = 4(25) = 100 years.
So, the age of the man now is 50 years.
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