Question

Which equation models the following word problem?The sum of three consecutive integers is 22 more than twice the largest.Find the integers.

Answer 1

The three consecutive integers are

x, (x+1), and (x+2)

Where (x+2) is the largest of them.

22 more than means to add 22.

Twice the largest means 2 times the largest.

So, let us equate the sum of three consecutive integers to 22 plus 2 times (x+2)

$(x)+(x+1)+(x+2)=22+2(x+2)$

Therefore, the above equation correctly models the given word problem.