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.
Light. Without light you wouldn’t be able to see anything. And light is made up of all the colors of the rainbow. Adding light to a word can mean it weighs less and light has no mass.
Mike, Jimmy, Nader, Kevin, and Larry were the top five finishers in the regional 500-mile race. They drove yellow, orange, green, red and blue cars but not necessarily in that order.
Neither Kevin nor Larry drove the green car.
Kevin finished faster than Mike and Larry.
The blue car finished earlier than Larry’s and Nader’s car.
The yellow car finished faster than the green car and the orange car.
Mike’s and Larry’s car finished ahead of the orange car.
Jimmy’s car finished before the blue and the yellow car.
Who drove what color car and what place did each driver finish?