The sum of three prime numbers is 100 If one of them exceeds another by 36 then one of the numbers i...........

Quantitative Aptitude (CDS) Number System

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

None of the above

Let the three prime numbers be x, y, y+36

x+y+y+36 = 100

x+2y = 64

2y is an even number always

We know that

Even + even = even or odd + odd = even

So x has to be even to satisfy x+2y = 64

The only even prime no is 2

Put x=2

2y = 62 Or y = 31

So the numbers are 2, 31 , 67 Thus option 4 is the answer

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