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.
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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.
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(V+10) +1 = 4*(E-6)
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Substitute for V
V = 40-E
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40-E + 10 +1 = 4E -24
51 -E = 4E - 24
75 -E = 4E
75 = 5E
E = 15
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V+E = 40
V+15 = 40
V = 25
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Always check your work
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In 10 years, V = 35
Six years ago, E = 9
4*E = 36
which is 1 more than V+10.
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Answer: Victor's current age is 25; Ellen's is 15.
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Done.
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