Question

the sum of three consecutive odd natural numbers is 159 find the prime number out of these number

Answer 1

Let three consecutive odd no be x+1 , x+3 , x+5

ATQ

x+1+x+3+x+5=159

3x+9=159

3x=159-9

3x=150

x=150/3=50

hence three consecutive odd no are 51 , 53 , 55

53 is prime no

Answer 2

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Let n represent the least of the odd numbers. Then the next two will be n+2 and n+4. That their sum is 159 gives us

n+(n+2)+(n+4)=159

⇒3n+6=159

⇒3n=153

∴n=51


n+ 2 =51 + 2
n+ 2 = 53


n + 4 = 51 + 4
n+ 4 = 55

hence the numbers are 51 , 53 , 55

prime number = 53

thanks