The numbers must be in ascending order. This can be a fun one to have people work out in person, as they test out three-number series and you can tell them whether or not they satisfy the pattern.
I’m up and down and round about, yet all the world can’t find me out. Though thousands have employed their leisure, they never yet could find my measure. I’m found in almost every garden, In a compass or a farden. There’s neither chariot coach nor mill may move one inch except I will.
1. Each letter represents a different digit from 1 to 9 2. The total of each row is 17. 3. (B × B) + B + F = A 4. C × F = EF (a 2-digit number, not their product)
A + B + C = 17 D + E + F = 17 B2 + B + F = A C × F = EF
To begin with, B has to be a 1 or 2 or else A wouldn’t be a single digit. Plug in B = 2, gives you 6 + F = A, meaning F and A can only be (1,7) or (3,9). To get 17, C would have to be 8 or 6, but those values don’t work for C × F = EF. So B must be 1.
2 + F = A means F and A can be (2,4), (3,5), (4,6), (5,7), (6,8) or (7,9). To get 17 on the top row, the only option that leaves C as a single digit is F = 5 and A = 7.
C × F = EF 9 × 5 = 45, so E = 4 and D = 8 to make the second row equal to 17.
A clock. It runs all the time, it “sings” for hourly chimes, cuckoos or alarms, it doesn’t have a head (but does have hands) and you look a clock in the face to tell the time.
I am a wonderful help to women, The hope of something to come. I harm no citizen except my slayer. Rooted I stand on a high bed. I am shaggy below. Sometimes the beautiful peasant’s daughter, an eager-armed, Proud woman grabs my body, Rushes my red skin, holds me hard, Claims my head. The curly-haired Woman who catches me fast will feel Our meeting. Her eye will be wet.