Brain Teasers
Letter Math
A, B, C, D, E, represent the numbers 1, 2, 3, 4, 5, but not in that order. Can you work out what they are?
E + B + D = CA
B * D = CA
A * B + E = CD
E + B + D = CA
B * D = CA
A * B + E = CD
Hint
Work out all the possible sums of three numbers; 1-5Work out all the possible products of two numbers 1-5
You should be able to get CA and E from this.
Answer
To check:A = 2
B = 4
C = 1
D = 3
E = 5
5 + 4 + 3 = 12
4 * 3 = 12
2 * 4 + 5 = 13
Solution:
There is only one sum of three numbers that will give a possible double digit number:
3 + 4 + 5= 12
C=1
A=2
(Must be more than 9, 10 is not possible because there is no zero, and the digits must be different so it can't be 11; can't get higher than 12 with three numbers)
There are only two numbers which will give a product of 12. 3 and 4
B + D are 3 and 4 (although you don't know which) but B + D = 7 so
E=5
2 * B + 5 = 13
B = 4
D = 3
Hope you liked it!
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