Question 105722
Let x=the larger number
____y=the smaller number

If the difference of two numbers is 19,then,

{{{x-y=19}}}

If the larger number is 3 more than twice the smaller,

{{{x=2y+3}}}

Substituting {{{x=2y+3}}} to {{{x-y=19}}},

{{{2y+3-y=19}}}
{{{2y-y+3=19}}}
{{{y+3=19}}}
{{{y+3-3=19-3}}}
{{{y+0=16}}}
{{{y=16}}}

But, {{{x=2y+3}}}. So,

{{{x=2(16)+3}}}
{{{x=32+3}}}
{{{x=35}}}

Therefore, the two numbers are 16 and 35.


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