Question

If the sum of the first two consecutive even integers is equal to three times the third what are the three integers?

Answer 1

we are given

three consecutive even integers

Let's assume

first even integer is x

second even integer is x+2

third even integer is x+4

sum of the first two consecutive even integers is equal to three times the third so, we can get equation as

`x+x+2=3(x+4)`

now, we can solve for x

`2x+2=3x+12`

`2x+2=3x+12`

`x=-10`

so, we get

first integer is -10

second integer is -10+2=-8

third integer is -10+4=-6.................Answer