SOLUTION: The sum of Victor�s and Ellen�s age is 40 years. Victor�s age 10 years from now will be 1 year less than 4 times Ellen�s age 6 years ago. Find their present ages.

Question 502089: The sum of Victor�s and Ellen�s age is 40 years. Victor�s age 10 years from now will be 1 year less than 4 times Ellen�s age 6 years ago. Find their present ages.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
V +E = 40
V+10 = Victor's age 10 years from now.
E+10 = Ellen's age 10 years from now.
E-6 = Ellen's age 6 years ago.
.
(V+10) +1 = 4*(E-6)
.
Substitute for V
V = 40-E
.
40-E + 10 +1 = 4E -24
51 -E = 4E - 24
75 -E = 4E
75 = 5E
E = 15
.
V+E = 40
V+15 = 40
V = 25
.
Always check your work
.
In 10 years, V = 35
Six years ago, E = 9
4*E = 36
which is 1 more than V+10.
.
Answer: Victor's current age is 25; Ellen's is 15.
.
Done.
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