### Brain Teasers

# Letter Math

Math
Math brain teasers require computations to solve.

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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