harigrestudent97 wrote:
Carcass wrote:
If \(\frac{1}{2}\)x years ago Adam was 12, and \(\frac{1}{2}\)x years from now he will be 2x years old, how old will he be 3x years from now?
A 54
B 18
C 24
D 30
E It cannot be determined from the given information.
0.5x years ago Adam was 12So,
12 + 0.5x = Adam's PRESENT age
So, 0.5x years from now, Adam's age will be (
12 + 0.5x) + 0.5x years old
Simplify:
12 + x = Adam's age 0.5x YEARS FROM NOW
0.5x years from now, Adam will be 2x years oldWe can write:
12 + x = 2x
Solve, to get: x = 12
12 + 0.5x = Adam's PRESENT age
So, Adams age 3x YEARS FROM NOW = (
12 + 0.5x) + 3x
Now that we know x = 12, replace x with 12 to get: Adams age 3x YEARS FROM NOW =
12 + 0.5(12) + 3(12)
= 12 + 6 + 36
= 54
Answer: A
Cheers,
Brent