Hello guys

I just started to with the

mgmat word problems and I am stuck at this word problem

8 years ago, George was half as old as Sarah. Sarah is now 20 years older than George. How old will George be in 10 years?

In step one, the book assigned one Variable for both Sarah and George and wrote that

8 years ago

George G-8

Sarah G+12

I know how to solve this the long way assigning 2 variable, which is troublesome and I most of the time get it wrong. Could you explain why Sarah is G+12 ?

And could you tell me the easiest way to solve those kinds of problems

Sarah is now 20 years older than George --> S=G+20 --> Sarah 8 years ago was G+20-8=G+12 years old.

We also know that 8 years ago, George was half as old as Sarah --> (G-8)*2=G+12 --> G=28.

In 10 years George will be 28+10=38 years old.