The sum of two numbers is 21 and their difference is 7. What are the two numbers?

1 Answer
Nov 1, 2016

The numbers are #14# and #7#.

Explanation:

Let the numbers be #x# and #y#.

#x + y = 21#
#x - y = 7#

#y = 21 - x#

#x - (21-x) = 7#

#x - 21 + x = 7#

#2x = 28#

#x = 14#

#:.14 + y = 21#

#y = 7#

Hence, the numbers are #14# and #7#.

Hopefully this helps!