What is the mass number of an ion with 109 electrons, 159 neutrons, and a 1 charge?

It is not specified whether charge is +1 or -1.
If charge is  +1,  then total no. of electrons is 110,and so is atomic number.
Mass No.=No. of neutrons+ Atomic Number                       (1) 
               =159+110=269
If Charge is -1, total no.of electrons= 108= atomic number
From (1)
Mass No.= 159+108=267

Hope It Helped :)

the catch is that the top numbers are atomic masses the bottom numbers are the numbers of protons and electrons in an uncharged atom. they are the number of that atoms as you would find them on the periodic table. further, the numbers on the left are used to determine the missing numbers on the right

so here we go

atomic mass

239 + 1 = y + 134 + 3 combine like terms

240 = y + 137             subtract 137 from both terms

240 - 137 = y

103 = y

atomic number

94 = z +54 + 0

94 = z + 54               subtract 54 from both sides.

40 = z

answer