### 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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