Question 1137321

let's the numbers be {{{x}}} and the smaller number  {{{y}}}

if the sum of two numbers is {{{61}}} we have

{{{x+y=61}}} 

=>{{{x=61-y}}}....eq.1

if five times the smaller number is {{{23}}} more than larger, we have

{{{5y=x+23}}}

=>{{{x=5y-23}}}........eq.2

from eq.1 and eq.2 we have 

=>{{{5y-23=61-y}}}........solve for {{{y}}}

{{{5y+y=61+23}}}

{{{6y=84}}}

{{{y=84/6}}}

{{{y=14}}}

go to {{{x=5y-23}}}........eq.2 plug in {{{y}}} value

{{{x=5*14-23}}}

{{{x=47}}}


so, your numbers are:{{{47}}} and {{{14}}}