Question

The sum of the three consecutive numbers is 39, what is that three numbers ?​

Answer 1

Answer :-

The three consecutive numbers are 12, 13 and 14.

Step-by-step explanation:

To Find :-

• The three consecutive numbers.

Given that,

• The sum of three consecutive numbers is 39.

Assumption:

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

Also given,

• (a) + (a + 1) + (a + 2) = 39

⇒ (a) + (a + 1) + (a + 2) = 39

⇒ a + a + 1 + a + 2 = 39

⇒ a + a + a + 1 + 2 = 39

⇒ 3a + 3 = 39

⇒ 3a = 39 - 3

⇒ 3a = 36

⇒ a = 36/3

⇒ a = 12

The value of a is 12.

Now, The numbers are :-

• (a) = 12
• (a + 1) = 12 + 1 = 13
• (a + 2) = 12 + 2 = 14

V E R I F I C A T I O N :-

• (a) + (a + 1) + (a + 2) = 39

By putting the numbers, which we got, in L.H.S

⇒ (a) + (a + 1) + (a + 2)

⇒ 12 + 13 + 14

⇒ 25 + 14

⇒ 39

Now, L.H.S = R.H.S = 39.

Hence, Verified!

Answer 2

Given-:

• Sum of three consecutive numbers = 39

To Find-:

• What are the three consecutive numbers?

Calculation-:

• Let the three required consecutive numbers be x , x + 1 , x + 2

ACCORDING TO THE QUESTION

x + x + 1 + x + 2 = 39

x + x + x + 1 + 2 = 39

3x + 3 = 39

3x = 39 - 3

3x = 36

x = 36/3

x = 12

Hence, the required numbers are-:

(x) = 12 , (x + 1) = 12 + 1 = 13 , (x + 2) = 12 + 2 = 14

FINAL ANSWER-:

12 , 13 and 14 are the required numbers.

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