Answer
Verified
419.7k+ views
Hint- Here, we will be assuming the two consecutive odd integers as $n$ and $\left( {n + 2} \right)$.
Let the two consecutive odd integers be n and $\left( {n + 2} \right)$.
Given, the sum of the two consecutive odd integers is 20
i.e., $n + \left( {n + 2} \right) = 20 \Rightarrow 2n + 2 = 20 \Rightarrow 2n = 18 \Rightarrow n = 9$
$ \Rightarrow \left( {n + 2} \right) = 9 + 2 = 11$
Therefore, the required two consecutive odd integers are 9 and 11.
Note- There always occur one even number in between two odd numbers and similarly, one odd number in between two even numbers that’s why if one odd number is $n$ then $\left( {n + 1} \right)$ will be an even number and $\left( {n + 2} \right)$ be will odd number.
Let the two consecutive odd integers be n and $\left( {n + 2} \right)$.
Given, the sum of the two consecutive odd integers is 20
i.e., $n + \left( {n + 2} \right) = 20 \Rightarrow 2n + 2 = 20 \Rightarrow 2n = 18 \Rightarrow n = 9$
$ \Rightarrow \left( {n + 2} \right) = 9 + 2 = 11$
Therefore, the required two consecutive odd integers are 9 and 11.
Note- There always occur one even number in between two odd numbers and similarly, one odd number in between two even numbers that’s why if one odd number is $n$ then $\left( {n + 1} \right)$ will be an even number and $\left( {n + 2} \right)$ be will odd number.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE