The difference of two numbers is 1. Their sum is 9, What are the numbers?

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Answer 1 · 2016-11-22T16:35:42

#5# and #4#

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

#x-y=1#
#x+y=9#

Solve for #x# in the first equation

#x=1+y#

Substitute #1+y# instead of #x# in the second equation

#(1+y)+y=9#
#1+2y=9#
#2y=8#
#y=4#

Substitute #y# in any of the equations

#x+y=9#
#x+4=9#
#x=5#

The two numbers are #5# and #4#