Math, asked by harsithanamala123, 1 month ago

the sum of two consecutive odd numbers is 56 . find the numbers​

Answers

Answered by Anonymous
4

Answer:

Let the 2 odd numbers = x,x + 2

x + x + 2 = 56

2x + 2 = 56

2x = 56 - 2

2x = 54

x = 54/2

x = 27

x + 2 = 27 + 2 = 29

Step-by-step explanation:

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Answered by Mihir1001
4

Question :-

The sum of two consecutive odd numbers is 56. Find the numbers.

Solution :-

let the two consecutive odd numbers be (2x + 1) and (2x + 3) .

i.e.:

  • first consecutive odd number = 2x + 1
  • second consecutive odd number = 2x + 3

Now,

A/q,

( 2x + 1 ) + ( 2x + 3 ) = 56

=> 2x + 1 + 2x + 3 = 56

=> 4x + 4 = 56

=> 4x = 56 - 4

=> 4x = 52

=> x = 52/4

=> x = 13

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Thus,

first consecutive odd number

= 2x + 1

= 2(13) + 1

= 27

second consecutive odd number

= 2x + 3

= 2(13) + 3

= 29

_____________________

Hence, the required consecutive odd numbers are 27 and 29 .

_____________________

Thank You!

______^^_

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