+0

# Consecutive Numbers

0
55
1

There are three consecutive multiples of five. The sum of the first two numbers is 1,945. What are the integers?

Jul 3, 2020

#1
+25530
+3

There are three consecutive multiples of five. The sum of the first two numbers is 1,945.
What are the integers?

$$\begin{array}{rcll} x~ \text{is the multiply of}~ 5 \\ \text{First} &=& x \\ 2\text{nd} &=& x+5 \\ 3\text{rd} &=& (x+5)+5 \\ \end{array}$$

$$\begin{array}{|rcll|} \hline x+x+5 &=& 1945 \\ 2x+5 &=& 1945 \\ 2x &=& 1945-5 \\ 2x &=& 1940 \\ \mathbf{x} &=& \mathbf{970} \\ \hline \end{array}$$

$$\begin{array}{rcll} \text{First} &=& 970 \\ 2\text{nd} &=& 970+5 \\ &=& 975 \\ 3\text{rd} &=& 975+5 \\ &=& 980 \\ \end{array}$$

Jul 3, 2020