Question 988385
The sum of two mixed numbers is 2 and a half more than the difference.
 What are the two numbers? 
:
a + b = 2{{{1/2}}} + a - b
Subtract a from both sides
b = 2{{{1/2}}} - b
add b to both sides
2b = 2{{{1/2}}}
convert to a improper fraction
2b = {{{5/2}}}
divide both sides by 2
b = {{{5/4}}}
Convert to a mixed number: b = 1{{{1/4}}} is one number
Find a
a + {{{5/4}}} = {{{5/2}}} + a - {{{5/4}}}
do the math and it is apparent that a can be any value
a - a + {{{5/4}}} = {{{5/4}}}