Question

There are 2 consecutive odd integers and the sum of the second and three times the first is 6, what are the numbers?

Answer 1

Since they are consecutive odd integers they can be represented as:
`color(purple)(x and x+2`
(As the difference between two consecutive odds eg: 7 and 5 = 2 )

as per the condition in the question:
Three times first term is `color(purple)(=3x`

adding (sum of 2nd term and three times first term):
`x+2 + color(purple)(3x) = 6`
`4x = 4 , x =1`
Since `x = 1, x+2 =3`

The numbers are: `color(purple)( 1 and 3`