Question

Can someone actually work this problem out step by step with me? I know the answer already (i got it wrong on a quiz) and I just want to know how to do it step by step.

The sum of two consecutive integers is at least 46. What is the least possible pair of integers?

Answer 1

do you know what consecutive means ?

Answer 2

Umm kind of. Im doing all the quiz corrections right now, this test was from a long time ago, so i kind of forget.. But i can look it up!

Answer 3

consecutive means one right after the other....such as 1 and 2, or 4 and 5.
so lets let 1 number be (x) and the other number be (x + 1).

The sum of 2 consecutive numbers is at least 46..
x + (x + 1) >= 46 --- combine like terms
2x + 1 >= 46 -- subtract 1 from both sides
2x >= 45 -- divide by 2
x >= 22.5

x + 1 = 22.5 + 1 = 23.5

are you sure you wrote this down correctly....because I am getting decimal numbers

Answer 4

Umm let me check i will repost the problem.

Answer 5

does it say consecutive EVEN numbers ?

Answer 6

or consecutive ODD numbers ?

Answer 7

or just numbers ?

Answer 8

It dosent say anything.. It says the sum of two consecutive integers is at least 46. What is the least possible pair of integers? and that the answer is 23 & 24

Answer 9

oh..I see...they rounded the numbers
x >= 22.5 rounds to x >= 23
x + 1 >= 22.5 + 1 = 23.5 rounds to x + 1 >= 24
understand ?

Answer 10

Ohhhhh okay, got it! Thank you so much. Yeah I was getting the same answer too! They should really say something. Thank you though:)

Answer 11

your welcome...your right, they should have mentioned rounding