John's father, Mike invested a certain amount in a policy. The policy will mature when the combined age of John and his father becomes 80 years. If the present ages of Mike and John are n (<80) years and m years respectively, which of the following expressions is true if the policy will mature exactly x years from today?
A. \(n+m+x=80\)
B. \(n+2m+x=80\)
C. \(n+m+2x=80\)
D. \(2(n+m)+x=80\)
E. \(n-m+2x=80\)
Given: The policy will mature exactly x years from todayMike's age in x years =
n + xJohn's age in x years =
m + xSo, when the policy matures, the sum of their ages =
(n + x) + (m + x)Since the policy matures when the sum of their ages is 80, we can write:
(n + x) + (m + x) = 80Simplify to get:
n + m + 2x = 80Answer: C
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