Question 634017
Let
Present age of woman = w years old
Present age of son = s years old

woman is now 30 years older than her son
w=s+30.........(1)
15 years ago
woman was = w-15 years old
son was = s-15 years old
Then
she was twice as old.
w-15=2(s-15)
w-15=2s-30
w=2s-30+15
w=2s-15...........(2)
Put the value of w from (1) to (2)
s+30=2s-15
s-2s=-15-30
-s=-45
s=45
Put the value of s in (1)
w=s+30.........(1)
w=45+30
w=75


Present age of woman = w = 75 years old
Present age of son = s = 45 years old