The sum of the reciprocals of two consecutive even integers a and b is 9/40 find the integers.

The two consecutive even integers are and .

Step-by-step explanation:

Let be an even integer, then the next even integer is .

The reciprocals of these numbers are:

and

If their sum is , then we can write the equation;

The LCD is

We multiply through with the LCD to obtain:

We simplify to obtain:

Expand:

Rewrite in standard form to obtain:

Factor to obtain:

This implies that:

Since x is even integer, the solution is x=8.

The next consecutive even integer is 8+2=10

Therefore the two consecutive even integers are and .

the answer is d

step-by-step explanation:

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.