Fill in the numbers to find a Sum

Answer:
The numbers are -15 and 100
[tex]\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}[/tex]
Step-by-step explanation:
we have
[tex]\frac{2}{10} +\frac{x}{100} =\frac{5}{y}[/tex]
Solve the left side
[tex]\frac{2}{10} +\frac{x}{100} =\frac{20+x}{100}[/tex]
so
[tex]\frac{20+x}{100}=\frac{5}{y}[/tex]
equate the numerators and the denominators
20+x=5 ------> x=5-20=-15
100=y -------> y=5
therefore
The numbers are -15 and 100
[tex]\frac{2}{10} +\frac{-15}{100} =\frac{5}{100}[/tex]