Can you figure out this puzzle?
Solution to the Problem:
Here is the solution:The answer is 69.
The original problem reads:
312=36
412=47
512=58
612=?
In each problem, take the first digit and multiply it by the last two digits.
Then subtract 0 from the first line, 1 from the second, 2 from the third, and finally 3 from the fourth line: 312 = 3 x 12 - 0 = 36
412 = 4 x 12 - 1 = 47
512 = 5 x 12 - 2 = 58
612 = 6 x 12 - 3 = 69
Here is another way to solve it:
Use the first number as the 10s place, then add the 3 numbers for the 1s place.
So, 312=36 would convert to 30+3+1+2=36
412=47 would convert to 40+4+1+2=47
512=58 would convert to 50+5+1+2=58
612 would convert to 60+6+1+2=69.
Kamal Lohia provided three different patterns:
312 = 3×12 - 0 = 36
412 = 4×12 - 1 = 47
512 = 5×12 - 2 = 58
612 = 6×12 - 3 = 69
312 = 3×1|3+1+2 = 36
412 = 4×1|4+1+2 = 47
512 = 5×1|5+1+2 = 58
612 = 6×1|6+1+2 = 69
312 = 31 + 3×1+2 = 36
412 = 41 + 4×1+2 = 47
512 = 51 + 5×1+2 = 58
612 = 61 + 6×1+2 = 69
Correctly solved by:
| 1. Dr. Hari Kishan |
D.N. College, Meerut, Uttar Pradesh, India |
| 2. Colin (Yowie) Bowey | Beechworth, Victoria, Australia |
| 3. Seth Cohen | Concord, New Hampshire, USA |
| 4. Davit Banana | Istanbul, Turkey |
| 5. Kamal Lohia | Hisar, Haryana, India |
| 6. Ivy Joseph | Pune, Maharashtra, India |
| 7. Riley Sack |
Central High School, Grand Junction, Colorado, USA |
| 8. Kelly Stubblefield | Mobile, Alabama, USA |