SOLUTION: Ed is 1/6 as old as Laura. In 18 years, Ed's age will be 13 years more than 1/5 of Laura's. How old are Ed and Laura now?

Question 611322: Ed is 1/6 as old as Laura. In 18 years, Ed's age will be 13 years more than 1/5 of Laura's. How old are Ed and Laura now?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Ed is 1/6 as old as Laura. In 18 years, Ed's age will be 13 years more than 1/5 of Laura's.
How old are Ed and Laura now?
:
Write an equation for each statement
"Ed is 1/6 as old as Laura."
E = L
or
L = 6E
:
"In 18 years, Ed's age will be 13 years more than 1/5 of Laura's."
E + 18 = (L+18) + 13
Multiply by 5 to get rid of these annoying fraction
5(E+18) = L + 18 + 5(13)
5E + 90 = L + 18 + 65
5E = L + 83 - 90
5E = L - 7
Replace L with 6E
5E = 6E - 7
7 = 6E - 5E
E = 7 yrs old is Ed
:
L = 6(7) = 42 is Laura's age
:
:
Check this in the 2nd equation
7 + 18 = (42 + 18) + 13
25 = (60) + 13
25 = 12 + 13

How old are Ed and Laura now? 7 and 42
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