the sum of sid's and Sue's ages is 30. If 8 years ago Sid was as old as Sue was 2 years ago, then how old is Sue now?
Let Sid's age be A
Then Sue's age is 30 - A
And 8 years ago....Sid's age was A - 8
And 2 years ago, Sue's age was 30 - A - 2 = 28 - A
And we know that
A - 8 = 28 - A add A, 8 to both sides
2A = 36 divide both sides by 2
A = 18
So... Sue is 30 - 18 = 12
Since we are looking for Sue's age now, let x = Sue's age now
x+SID =30
and
SID-8 = x-2 re-arrange
SID = x+6 sub into the first equation
x + x+6 = 30
x = 12