Question

The sum of three consecutive odd numbers is 39. Find the largest number?​

Answer 1

Step-by-step explanation:

Let the three consecutive numbers be a,a+1 and a+2.

Now it is given that the sum of these consecutive numbers is 39.

Hence, adding them and equating it to 39 we get:-

⇒a+a+1+a+2=39

Simplifying it we get:-

⇒3a+3=39

Solving it further we get:-

⇒3a=36

Now solving for the value of a we get:-

⇒a=363

On dividing we get:-

⇒a=12

Hence, the first number is 12.

Now putting the value of a in other two numbers we get:-

⇒a+1=12+1

Simplifying it we get:-

⇒a+1=13

Hence, the second number is 13.

Now putting the value of a in the third number we get:-

⇒a+2=12+2

Simplifying it we get:-

⇒a+2=14

Hence, the third number is 14.

Therefore, the three consecutive numbers are 12, 13 and 14.

Answer 2

Answer: 15

Step-by-step explanation:

Let first odd number be y.

y

Next odd number should be two more than the previous value. So,

y + 2

Next odd number should be two more than the previous value. So,

y + 2 + 2

= y+4

As per the question it is stated that the sum of these consecutive odd numbers is 39.

y + y+2 + y+4 = 39

            3y +6 =39

           3y+6-6=39-6

                  3y = 33

                3y/3= 33/3    

                     y=11

So, the first number is 11

So, the two consecutive odd numbers that comes after 11 are,

13 and 15.

So, the largest number is 15

Hope it was understandable.

If my answer was helpful please mark me as brainliest.