2 years ago my mother was 4 times my age then. In 18 years I will be half my mothers new age. How old am I now?

Question

I am so stuck

2 years ago
Sx4-M
(S+18)=(M+18)/2

Now what do I do

Answer 1

2 years ago you were x
2 years ago your mom was 4x

18 years from now, you will be x+20
18 years from now, your mom will be 4x+20

x+20 = (1/2)(4x+20)
x+20 = 2x + 10
10 = x

2 years ago, you were 10, your mom was 40
you are now 12, your mom is now 42

check:
2 years ago you were 10, you Mom was 40
18 years from now you will be 12+18 or 30, your Mom will be 42+18 or 60 , so you will be half her age.
That checks out!

Answer 2

Awesome thank for the help 😀✌

Answer 3

mr and mrs smith, their 2 children and dog want to cross a river in a boat that would hold only 80 kg and both Mr. and Mrs Smith have a mass of 80 kg and both the children have a mass of 40 kg and the dog has a mass of 5 kg explain how they can cross the river in the fewest crossings possible.

Thanks for the help