The sum of two consecutive integers is 6,867. What are the integers?
3,433 + 3,434 = 6,867
I just did it all in my head because it's the way I think. I am horrible when it comes to translating word problems into equations though (hence my other question).
Before you rant about how I should consult my text book, saxon doesn't teach one how to think intuitively. :) Word problems can vary so much..
2006-09-20 13:45:25 · 9 answers · asked by Ryan 1 in Science & Mathematics ➔ Mathematics
X + (x+1) = 6867
2X +1 =6867
2X = 6866
X = 3433, X+1 = 3434
2006-09-20 14:41:39 · answer #1 · answered by davidosterberg1 6 · 0⤊ 0⤋
you would start by assigning letter values to the integers. because the second integer equals the first integer plus one, thats how you would write it
so the integers are
n and n+1
you would then substitute those letter values into the problem to form an equation
the sum of n and n+1 is 6867. what are the integers?
now write it out in an equation
n+n+1=6867
add the like terms
2n+1=6867
add negitive 1 to both sides to get the n by itself
2n=6866
divide that number by 2
n=3433
so if the first integer (n) is 3433, then by adding one to that number you can confidently say that the second integer is 3434
its really important to know how to do these intuitively, because ive had saxon math, and they only get harder.
also, its not nessicary to write all of these steps, but it is critical that you understand them.
2006-09-20 20:57:23 · answer #2 · answered by imwearingnewsox 2 · 0⤊ 0⤋
to get the answer as you did...think that the 2 consecutive numbers are beside each other... and the make the number you start with an even number 6868 and divide it by 2 3434 since you added one and the sum is one too many,,,now subtract that one from this 3434 and get 3433
that is what you do in your head...try it on some other numbers and see it work
4827 ----> think 4828 and half of this is 2414 now subtract one and get 2413 there you have it, But caution,,,any two consecutive numbers must be an odd number...do you know why? Think about it. Good Luck !
By algebra X + (X+1) = 6867 and solve for X and then get X +!
2006-09-20 20:54:33 · answer #3 · answered by travlin 2 · 0⤊ 0⤋
x + (x+1) = 6867
and solve for x for your first number and x + 1 will be your second number.
2006-09-20 20:50:08 · answer #4 · answered by Bryant 1 · 0⤊ 0⤋
x + (x+1) = 6867
and solve for x
2006-09-20 22:37:59 · answer #5 · answered by Timothy B 2 · 0⤊ 0⤋
Hi. Divide by two then seek up and down.
2006-09-20 20:48:34 · answer #6 · answered by Cirric 7 · 0⤊ 0⤋
x+( x+1 )=6,867
2006-09-20 20:49:52 · answer #7 · answered by Anonymous · 0⤊ 0⤋
that means you're a genius
2006-09-21 10:57:27 · answer #8 · answered by David W 2 · 0⤊ 0⤋
6,867/2=3,433,5
2006-09-20 20:49:34 · answer #9 · answered by Anonymous · 0⤊ 0⤋