Question 395860


let the two numbers be {{{x}}} and {{{y}}}

{{{sum}}} is {{{29}}}, and you have 

{{{x + y = 29}}}

and their difference is {{{15}}}

{{{x - y = 15}}}...assuming {{{x>y}}}



{{{x + y = 29}}}..........(1)

{{{x - y = 15}}}...........(2).......solve this system


{{{x = 29 - y}}}..........(1).substitute in (2)

{{{(29 - y) - y = 15}}}...........(2).solve for {{{y}}}

{{{29 - 2y = 15}}}

{{{- 2y = 15 - 29}}}

{{{- 2y = - 14}}}

{{{y = (- 14)/(-2)}}}

{{{y = 7}}}


now find {{{x}}}

{{{x = 29 - y}}}

{{{x = 29 - 7}}}

{{{x = 22}}}


check:

{{{x + y = 29}}}

{{{22 + 7 = 29}}}

{{{29 = 29}}}



{{{x - y = 15}}}

{{{22 - 7 = 15}}}

{{{15 = 15}}}