The second of two numbers is 5 more than twice the first their sum is 80, what are the numbers?

1 Answer
Nov 16, 2016

The numbers are #25 and 55#

Explanation:

Although there are two numbers, we can define both of them using one variable.

Let the first, smaller number be #x#.

This is doubled, so #2x#, then 5 is added to get the second number.

The second number is #2x+5#

"The sum of the numbers is #80#"

#x + 2x +5 = 80" "larr# solve the equation to find x.

#3x= 80-5#

#3x = 75#

#x = 75/3#

#x = 25#

One number is #25#, the other is #2xx25+5 = 55#

#25+55 = 80#