Question

The 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 1

Answer:

67

Step-by-step explanation:

Let three prime numbers are X, X+36 and Y.

According to questions,

X +X +36 +Y = 100.

2X +Y = 64 ------------------------- (1)

All three are prime number so 2X should be a even number. Also, to get sum as 100 (even number) Y should be an even prime number i.e 2.

Putting Y = 2

2X +2 = 64

X = 31

Thus, prime numbers are 31, 67 and 2.