SOLUTION: Don is twice as old as Irene; Ed is 16 years older than Irene. The sum of all three of their ages is 60 years. Find the age of each person.
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Question 261296: Don is twice as old as Irene; Ed is 16 years older than Irene. The sum of all three of their ages is 60 years. Find the age of each person. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let d = Don's age
Let i = Irene's age
Let e = Ed's age
:
Write an equation for each statement:
:
"Don is twice as old as Irene;"
d = 2i
:
"Ed is 16 years older than Irene."
e = i + 16
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"The sum of all three of their ages is 60 years."
d + i + e = 60
:
Find the age of each person.
Solve in terms of i, substitute for d & e, in the sum equation
2i + i + (i+16) = 60
4i = 60 - 16
4i = 44
i =
i = 11
:
I'll let you find the ages of d and e
:
Check your solution by finding the sum of the ages = 60
