Question #2d9fe

1 Answer
Jan 16, 2017

Answer:

The numbers are # 12 and 7#

Explanation:

Choose variables for the two numbers first and then write two equations from the information given.

Let the numbers be #x and y#, where #x >y#

Their sum is 19: #" "x + y = 19......................A#
The difference is 5#" "x-y = 5........................B#

Adding the equations together will eliminate the y terms.

#A+B:" "2x= 24" "larr# divide both sides by 2

#color(white)(.....................................)x=12#

Once you know one number, the other is easy to find:

#12 +7 = 19 and 12-7 = 5#

The numbers are # 12 and 7#