Question 102218
Suppose the first test score is x, second is y, and third is z.
{{{ x + y + z = 244 }}} ... (1) 
{{{ x = 20 + y }}} ... (2)
{{{ y + z = 60 + x }}} ... (3)

Suppose you substitute x from (2) into (3),
{{{ y + z = 60 + (20 + y) }}}
{{{ y + z = 60 + 20 + y }}}
{{{ z = 80 }}}

therefore, (1) will become:
{{{ x + y + 80 = 244 }}}
{{{ x + y = 164 }}}
substituting x from (2) into this equation gives:
{{{ (20 + y) + y = 164 }}}
{{{ 2y = 144 }}}
{{{ y = 72 }}}

and therefore we get value of x from (2)
{{{ x = 20 + 72 }}}
{{{ x = 92 }}}

Therefore, the student's test scores were 92, 72, and 80.

Hope that helps :)