# Carve the Tree

A teenage boy smitten with a teenage girl in his high school freshman class makes his feelings known. Overjoyed at finding them reciprocated, he took a pen knife to a young hardwood tree in the vicinity and carved their initials within a heart five feet up on the tree’s trunk, as boys will do. They go back 28 years later. If the tree had added 35% to its height in the first fifteen years of his absence, 10% in the following five years, and two and a half percent in each of the ensuing eight years, how far up the trunk did they have to look to find the carving with their initials?

### 6 guesses to Carve the Tree

• Julie

5′

• Dude

Nope, not even close. Try again.

• Julie

Whacha talkin about Willis? A tree grows from the tips of each branch and not from the ground, so the initials would still be 5′ above the base, exactly the same height as twenty-eight years earlier.

• Rool

5 feet up.

Maybe a bit stecthed though…

• Dude

Yes Julie, you are correct. My mistake on your first answer. Your second attempt explained it nicely. They will be at exactly the same height, which was in fact 5 feet.
You are today’s winner!

• I’m glad Julie figured it out, I was stumped, no pun intended lol. So heres another wood riddle I found that you might want to add: Wacky Wood