Question 402918

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

given
the difference between two numbers is 32

so, {{{x - y = 32}}}



 One of them is three times greater than the other

{{{x = 3y}}}


 what are the two numbers: 

{{{x - y = 32}}}............1
{{{x = 3y}}}................2.solve the system by substitution


{{{x - y = 32}}}............1...substitute {{{x }}}..from ...2..

{{{3y - y = 32}}}

{{{2y  = 32}}}

{{{y  = 32/2}}}

{{{y  = 16}}}.........now find {{{x }}}

{{{x = 3*16}}}

{{{x = 48}}}


check:

{{{x - y = 32}}}

{{{48 - 16 = 32}}}

{{{32 = 32}}}