The difference of two numbers is 1. Their sum is 13. What are the numbers?

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Answer 1 · 2017-01-12T23:47:31

#7 and 6#

Let the two numbers be: #x_1 and x_2#

We are told that:

#x_1-x_2 = 1# Equaltion (A)

and

#x_1+x_2 = 13# Equation (B)

(A) + (B) #-> 2x_1 = 14#

#x_1 = 7#

Replacing #x_1 =7# in (B) #-> 7 -x_2 =1#

#x_2 = 6#

Hence the two numbers are #7 and 6#