Question

The least of 3 consecutive integers is a, and the greatest is z. What is the value of a + 2z/ 2 in terms of a?

Answer 1

2a + 2

Explanation:

It is given that we have three consecutive integers.

The smallest of those three numbers is given by a.

the highest of those numbers is given by z.

Consider only the smallest number a.

As integers are consecutive, then the second number will be:

a + 1

and the thirst number will be:

a + 2

As third number is the greatest, it is equals to z, Hence,

z = a+2

Given that:

a + 2z/2

Substitute z = a+2 in the equation:

a + 2(a+2)/2

a + (a+2)

2a + 2

Answer 2

3a/2 + 2 or (3a + 4) / 2

Explanation:

The least of three consecutive numbers is a and the greatest is z. This means that z is 2 more than a:

z = 2 + a

We want to find the value of (a + 2z) / 2 in terms of a, that is:

(a + 2(a + 2)) / 2

= (a + 2a + 4) / 2

= (3a + 4) / 2

= 3a/2 + 2