Paul age is 8 years less than 5 times sarah's age the sum of their ages is 64 write the equation to find paul's age

Let's suppose Sarah's age is s and Paul's age is p.To find Paul's age it would be P=5s-8 because it says that Paul's age is 8 less, or 8-, 5 times Sarah's age, so 5s. that would make the equation p=5s-8.

Sarah= 12
Paul=52
12+52=64
Equation to find Paul's age: p=(64+8)÷6×5-8
To get that, I did 64+8=72. I added 8 to 64 because 64 is a combination of Sarah's age and Paul's age. (At the beginning, it also said that 8 less than 5 times the age of Sarah so you add the 8 back to have 6 times the age of Sarah which is 72.) Then, 72÷6=12. (I divide it by 6 because Paul is 5 times and including Sarah which is 6.) Next, 12×5=60 (Times 5 because it is 5 times of Sarah's age and then subtract 8 from it.) Lastly, 60-8=52 (the age of Paul is 8 less than 5 times of Sarah's age.)