The sum of three prime number is 100. One of the number is 36 more than the other numbers. The highest prime number is—

Explanation

Let the first prime number is x ∴ Second prime number = x +36 Third number = 100 - (x + x + 36) = 100 - (2x + 36) = 64 - 2x x must be such a prime number that the result obtained by putting it in (64-2x) should also prime number. ∴ On putting x =31 Third Number = 2 (2 is a prime number) So the highest prime number is = 31+36 = 67