Question 1062764
{{{ x + y = 39  }}}
{{{ x - y = 7 }}}     (x is assumed to be the larger number)

Add the two equations to get:
{{{  2x + 0y = 46 }}}
Divide both sides by 2:
{{{  x = 46/2 = 23 }}}

Solve for y:   {{{ 23 - y = 7 }}}  —> {{{ y = 16 }}}
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 Ans:  the two numbers are {{{ highlight(23) }}} and {{{ highlight(16) }}}
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Check:   23+16 = 39 (ok)
              23-16 = 7  (ok)


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Solution using just one variable 'x'

x + (x-7) = 39
2x - 7 = 39
2x = 46
x = {{{ highlight (23) }}}
x-7 = {{{ highlight(16) }}}