Question

Answer the following word problem by setting up an equation and then solving. Type the answer as "first number = " and "consecutive number = The sum of two consecutive numbers is 85, find the numbers.

Answer 1

From the question we're told that the sum of two consecutive numbers is 85,

Let the 1st number by y,

And the consecutive number be y+1

So, the sum of these two numbers will be equal to 85;

`y+(y+1)=85`

Let's go ahead and solve for y in the above equation;

`\begin{gathered} 2y+1=85 \\ 2y=84 \\ y=42 \end{gathered}`

So the first number is 42.

Let's find the consecutive number;

`y+1=42+1=43`

Therefore, the "first number = 42" and "consecutive number = 43"