The sum of three prime numbers is 72. If one of them exceeds another by 24, then one of the numbers is:

Correct option is A

Given:

Sum of three prime numbers =72

One of number exceed other by 24

Formula Used:

Prime number is a number whose factor is itself

Solution:

If one number of prime number is x

Then other number is x +24

Third number be y

Then x +(x +24) +y = 72

2x +y +24 = 72

2x + y = 48

Here we can see 2x is an even number,

y is also an even number

Only even prime number is 2 hence y =2

2x +2 = 48

2x =46

x =23

Then other number is 23+24 = 47