Random Puzzles 

Workings

Hint
What is the difference between each number?

Answer
14.

Add 3 to the previous term.

Workings

Hint
One of the words is GONE.

Answers
bo + nd = bond
br + ew = brew
fo + am = foam
go + ne = gone
ho + pe = hope
jo + ke = joke
le + af = leaf
lo + af = loaf
lo + ud = loud
so + re = sore

If we remove the restriction of remaking common words, alternative answers can be found using: foud, goaf, leud, sone.

Workings

Hint
Try starting with the cube root of the number.

Answer
42, 44, and 46.

Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.

We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.

And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.

Double-Checking
42 x 44 x 46 = 85,008.

Workings

Hint
How many miles did I travel?

Answer
I had lost 4 gallons.

Reasoning
I travelled at 50mph for 4 hours, which is 200 miles.

I used 25 gallons every 25 miles, so I used 8 gallons travelling those 200 miles.

I started with 12 gallons and used 8 gallons, so I lost the other 4 gallons.