Question

16) If the sum of two consecutive numbers is 11, find the numbers
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Answer 1

let 2 consecutive number = x, x + 1

x + x + 1 =11.

2x = 11-1

2x = 10

x = 10/2

x = 5

x +1 = 5+1 = 6

therefore, the 2 consecutive numbers are 5 , 6

5 + 6 =11

Answer 2

Given :

» Sum of two consecutive numbers = 11

To find :

The two numbers

Solution :

Here, we are given the value of the sum of two consecutive numbers and we need to find those two numbers. So, firstly we will assume the numbers. Then we shall add them and keep them equal to 11. The resultant value after doing the required calculation will be our required answer.

Let,

• The first number = x
• The second number = x + 1

[ Note : While assuming the numbers we can assume them as x + 2, x + 3 or any other number but the second number should be one more than the first number.]

According to the question,

⟶ x + x + 1 = 11

⟶ 2x + 1 = 11

⟶ 2x = 11 - 1

⟶ 2x = 10

⟶ x = 10 ÷ 2

⟶ x = 5

⟶ The value of x = 5

The two numbers are :-

• First number = x = 5
• Second number = x + 1 = 5 + 1 = 6

Hence, the two numbers are 5 and 5.