### Brain Teasers

# A Prime Example

Math
Math brain teasers require computations to solve.

Can you think of three different two-digit prime numbers in which:

(i) the average of ANY TWO of the numbers is a prime, and

(ii) the average of all three of the numbers is a prime?

(i) the average of ANY TWO of the numbers is a prime, and

(ii) the average of all three of the numbers is a prime?

### Hint

The average of two of the numbers is 59.### Answer

The numbers are 11, 47, and 71.The average of 11 and 47 is 29,

the average of 11 and 71 is 41,

the average of 47 and 71 is 59,

and the average of all three numbers is 43 .

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