Question 468807
Let x - the first number
Let y - the second number
a sum of two numbers is 49, then {{{x+y=49}}}
a difference of two numbers is 11, then {{{x-y=11}}}
The system of equations
{{{system(x+y=49,x-y=11)}}}
Add the secont equation to the first one
{{{2x=60}}}
{{{x=30}}}
Put {{{x=30}}} in the first equation
{{{30+y=49}}}
{{{y=49-30}}}
{{{y=19}}}
{{{system(x=30,y=19)}}}
Check
{{{system(30+19=49,30-19=11)}}}
{{{system(49=49,11=11)}}}-correct
Answer: {{{x=30}}},{{{y=19}}}