Question

The sum of two consecutive numbers is 89. What are the two numbers?A.43 and 46B.44 and 45C.38 and 51D.45 and 46

Answer 1

We know that:

- the sum of two consecutive numbers is 89

And we must find the two numbers

To find them, we can use equations to represent the situation.

1. We can use the next equation

`n+m=89`

Where, n is the smallest number and m is its consecutive number

2. Since m is the number after n, we can write m as

`m=n+1`

3. We must replace m = n + 1 in the first equation

`\begin{gathered} n+(n+1)=89 \\ \text{ Solving for }n, \\ n+n+1=89 \\ 2n+1=89 \\ 2n=89-1 \\ 2n=88 \\ n=(88)/(2) \\ n=44 \end{gathered}`

4. Finally, we must replace n = 44 in the equation for m

`\begin{gathered} m=44+1 \\ m=45 \end{gathered}`

ANSWER:

B.44 and 45