Numbers & Algebra

1:

Sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is

A.

7

B.

29

C.

41

D.

67

 

Answer : D

Explanation :

x + (x + 36) + y = 100
⇒2x + y = 64
Therefore y must be even prime which is 2 
2x + 2 = 64
⇒x = 31.
∴ Third prime number = x + 36 = 31+ 36 = 67

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Option: A

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