Math, asked by rajgiri1017, 1 year ago

The sum of two consecutive odd numbers in a set of three consecutive odd numbers is 7 more than the third number. what is the second of these numbers ?

Answers

Answered by budhwarchesta
10

Answer:11

Step-by-step explanation:

let the 3 consecutive odd numbers be x, x+2 and x+4

acc to ques

x+x+2 = x+4+7

2x +2 = x +11

x=9

so the numbers are 9,11 and 13.

second number = 11


rajgiri1017: Why we not take X,X+1,X+2.... instead of u took ....
budhwarchesta: because we need only odd numbers. adding 1 to an odd number will give an even number...consecutive odd numbers have a difference of 2.
rajgiri1017: k .k.
Answered by VaibhavSR
0

Answer: The numbers are (-6),(-5) and (-4).

Step-by-step explanation:

  • Let the three consecutive numbers be (x-1),x and (x+1).
  • Given that sum of two numbers is 7 more than the third number.
  • [x+1]-[(x-1)+x]=7

    ⇒[x+1]-[x-1+x]=7

    ⇒[x+1]-[2x-1]=7

    ⇒x+1-2x+1=7

    ⇒-x+2=7

    ⇒-x=7-2

    ∴ x=(-5)

    The numbers will be (-5-1),(-5) and (-5+1) i.e.,(-6),(-5) and (-4).

  • So,the required numbers are (-6),(-5) and (-4).
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