Home
Class 11
MATHS
Find all pairs of consecutive odd natura...

Find all pairs of consecutive odd natural number, both of which are larger than 10, such that their sum is less than 40.

Text Solution

Verified by Experts

Let x be the smaller of the two consecutive odd natural numbers.Then the other odd integer is `x+2.`
It is given that both the natural are greater than `10` and their sum is less than` 40.`
Therefore,
` x>10 { and, } x+x+2<40 `
`Rightarrow x > 10 and 2 x < 38`
`Rightarrow x > 10 and x < 19 `
`Rightarrow 10 < x < 19 >`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

Find all pairs of consecutive odd natural numbers,both of which are larger than 10, such that their sum is less than 40.

Find all pairs of consecutive even positive intergers, both of which are larger than 5 such that their sum is less than 23.

Knowledge Check

  • Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.

    A
    (1, 3) and (5, 7)
    B
    (3, 5) and (5, 7)
    C
    (3, 5) and (7, 9)
    D
    (5, 7) and (7, 9)
  • Similar Questions

    Explore conceptually related problems

    Find all pairs of consecutive even positive integers,both of which are lavger than 5, such that their sum is less than 23.

    Find all pairs of consecutive even positive integers,both of which are lavger than 8, such that their sum is less than 25.

    Find all pairs of consecutive even positive integers both of which are larger than 8 such that their sum is less than 25.

    Find all pairs of consecutive even positive integers both of which are larger than 5 such that their sum is less than 23.

    Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.

    Find all pairs of consecutive even positive integers, both of which are greater than 10 such that their sum is less than 50.

    Find all pairs of consecutive odd positive integers,both of which are smaller than 18, such that their sum is more than 20.