Question

the sum of three consecutive numbers is 156.find the number which is a multiple of 13 out of these number ​

Answer 1

51 is the multiple of 3

Step-by-step explanation:

Let us assume three consecutive numbers of series be x,x+1 and x+2

So, the sum of these consecutive numbers = x+x+1+x+2=156

⇒3x+3=156

⇒3x=156−3

⇒3x=153

⇒x=51

Three consecutive odd numbers = x,x+1 and x+2

x=51

x+1=51+1=52

x+2=51+2=53

Therefore, among the three, 51 is the multiple of 3.

Answer 2

Answer:

52 is the answer.

Step by step explanation:

Let us take 1 integer as x

We know that, the consecutive one would obviously be x+1 and x+2

So, the three numbers are x, x+1 and x+2

Now, we know that they sum up to 156.

Hence,

x+x+1+x+2 = 156

3x+3 = 156

3x = 156-3 = 153

x = 153/3

x = 51

So, the consecutive numbers will be 51, 52 and 53 (x+1 and x+2)

Now, that we have to find a number 'divisible' by 13. It is easy, we already know 52 is exactly divisible by 13.

And there you go!! 52 is the answer.