<PRE><B>Question 522777</B>
Let 
Present age of Carol = c
Present age of Amanda = a




Carol is 25 years older than her cousin amanda. 
c=a+25............(1)


In 18 years 
Carol will be = c+18
Amanda will be = a+18
Then
carol will be twice as old as amanda will be
c+18=2(a+18)
c+18=2a+36
c=2a+36-18
c=2a+18............(1)

Put the value of c from (1) to (2)
a+25=2a+18
a-2a=18-25
-a=-7
Multiply by -1 both sides of the equation
a=7

Put the value of a in (1)

c=a+25
c=7+25
c=32


Present age of Carol = c = 32 years old
Present age of Amanda = a = 7 years old

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