Question

The sum of four integers is 287 . The three smaller are consecutive integers and the two larger are consecutive even integers. Find the product of the smallest and the largest of the four integers.

Answer 1

What have you attempted to solve your problem?

Answer 2

I got 5180 for an answer I want someone to check.

Answer 3

Okay then, just a second.

Answer 4

Let x be the smallest one. Hence the the others are:
$$x + 1,~x + 2,~x +4$$
Therefore one has to solve the equation
$$x + x + 1 + x + 2 + x +4 = 287$$
$$4x + 7 = 287$$
$$4x = 287 - 7 = 280$$
$$x = 280/4 = 70$$
\(\textbf{Hence the answer is:}\) $$70 \times (70 + 4) = 5180$$

You are correct.

Answer 5

Awesome thank you!