Question

The sum of two consecutive odd numbers is 52. what are the two odd numbers

Answer 1

Let assume two consecutive odd numbers 2x+1 and 2x+3
It is given their sum is 52.
So we can write equation as

`2x+1 + 2x+3 = 52`

`4x+4 = 52`

On subtraction 4 on both sides of equation


`4x+4 - 4 = 52-4`

`4x = 48`

`(4x)/(4) = (48)/(4)`
x = 12
So the numbers are
first number is =
`2*12 + 1 = 25`
Second number is =
`2*12 + 3 = 27`

So the required numbers are 25 and 27.