Can You Find the Integers?

There are 3 consecutive integers. The sum of the first two is 35 more than the third. Find the integers.

Let me see.

Three consecutive integers:

x, x + 1, x + 2

Set Up:

x + x + 1 = 35 + x + 2

Yes?

 

correct

 

There are many more algebraic word problems coming our way. Precalculus takes place on my days off or when time allows.

 

You can't stop without completing it!

x + x + 1 = 35 + x + 2
Subtract x from both sides:
x+ 1= 35+ 2= 37
Subtract 1 from both sides:
X= 36.

The three consecutive integers are 36, 37, and 38.

Check: The sum of the first two is 36+ 37= 73. 35 more than the third is 35+ 38= 73.

Yes, "The sum of the first two is 35 more than the third."

 

If I stop without completing the problem, are you going to send me to Pilate? I am interested in the SET UP. GET IT? This is what MarkFL and Soroban drilled into my head in 2006. Set up or should I get the cross?