Question

The greater of 2 consecutive even integers is 58 less than three times the smaller, what are the numbers?

Answer 1

Two consecutive even integers can be represented as `color(purple)( x and x+2`
(as the difference between two even integers eg : 8 - 6 = 2 )

The greater of the two = `color(blue)(x+2`
Three times the smaller integer = `3xxcolor(blue)((x) = 3x`

as per the condition of the question:
`x+2 = 3x - 58`
now solving the equation:
`2+58 = 3x-x`
`2x = 60 , color(blue)(x = 30`

and `color(blue)(x+2= 32`
so the numbers are `color(blue)(30 and 32`