# x, y and z are prime numbers and x + y + z = 38 . What is the maximum

| x, y and z are prime numbers and x + y + z = 38. What is the maximum value of x?

A. 19

B. 23

C. 31

D. 29

### Right Answer is: C

#### SOLUTION

2 and 3 are the smallest two prime numbers.

If we choose 2, 3 and x then

x = 38 – 2 – 3 = 33

which is not a prime number.

Lets choose 2, 5, x then

x = 38 – 2 – 5 = 31

which is a prime number and hence the answer.

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x, y and z are prime numbers and x + y + z = 38 . What is the maximum