What are the integers?

Question

The greatest of four consecutive even integer is 14 less than twice the smallest integer. What are the integers?

Answer 1

The greatest of four consecutive even integer is 14 less than twice the smallest integer. What are the integers?

Let teh four consectutive even integers be,

I1 = 2n, I2 = 2n + 2, I3 = 2n + 4, I4 = 2n + 6

We have, The greatest is 14 less than twice the smallest

i.e. I4 = 2*I1 - 14

So, 2n + 6 = 2(2n) - 14

2n = 4n - 20

20 = 2n

n = 10

The numbers are: I1 = 20, I2 = 22, I3 = 24, I4 = 26