Question 900867: I'm twice the age you had when i had the age you have and when you'll be my age, sum of our ages will be 72. What age are we Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! I'll say:
A's age =
B's age =
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I will also say that the problem starts
off talking about A
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" When I had the age you have " means
when A's age =
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How old was B then?
The difference in their ages never changes, so
B was
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it says A is presently twice that age, so
(1)
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" and when you'll be my age " means B's
age =
At that time, A's age will be
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The sum of these ages is:
(2)
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(1) and (2) have 2 unknowns, so it's solvable
(1)
(1)
(1)
(1)
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(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
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A is 32
B is 24
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check:
" when i had the age you have "
( When A was 24 )
How old was B then?
B was
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A is twice that age, or
correct
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When B will be 32, and A will be , the sum
of their age will be 72
correct again
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Hope it's not confusing
