Question 411283
let two numbers be {{{x}}} and {{{y}}}, and {{{y<x}}}

given:

the sum of two numbers, {{{x}}} and {{{y}}} is {{{52}}}...->

 
{{{x+y=52}}}........1


and their difference is twenty-five more than the smaller number

{{{x-y+25=x}}}..........2........solve system 1,2

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{{{x+y=52}}}........1

{{{x-y+25=x}}}..........2
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{{{x-y+25=x}}}..........2.....solve for {{{y}}}

{{{-y+25=0}}}

{{{25=y}}}....substitute in 1

{{{x+25=52}}}

{{{x=52-25}}}

{{{x=27}}}