SOLUTION: mark is 4 years younger than his sister. six years ago marks sister was 5 times his age at that time. How old are Mark and his sister now

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Question 351456: mark is 4 years younger than his sister. six years ago marks sister was 5 times his age at that time. How old are Mark and his sister now
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Mark was and "always" will be 4 yerars younger than his sister.
Let x be his sister's age 6 years ago. His age at that timet would have been (x-4)
.
Question states:
x = 5*(x-4)
.
simplify and solve
x = 5x - 20
20= 4x
x = 5 (his sister's age 6 years ago)
.
Now: his sister is 11 and he is 7 (4 years younger)