Question

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

Answer 1

divide 46 by 2, whatever you get is the smaller number

Answer 2

because it has to be at least 46

Answer 3

thanks

Answer 4

ur welcome :)

Answer 5

hold on

Answer 6

the answers they gave me were:
a. 21 and 23
b. 23 and 24
c. 22 and 23
d. 24 and 25

Answer 7

Its B. Pretty self evident, right?

Answer 8

why

Answer 9

Let the first integer be \(a\) and the second be \(b=a+1\) then
$$
a+b=a+a+1\ge 46\\
2a+1\ge 46\\
2a\ge45\\
a\ge \cfrac{45}{2}=22.5\\
\implies a=23,b=24
$$
Make sense?