Question 1137386: If Amber's age is fourteen less than three times her age six years ago, she will be sixteen years older than her current age. How old is Amber?
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! If Amber's age is fourteen less than three times her age six years ago, she will be sixteen years older than her current age. How old is Amber?
Amber's age now ----x
amber's age 6 years ago x-6
14 less than three times her age 6 years age
3* (x-6)-14 =x+16
3x-18-14 = x+16
2x=48
x=24
Amber's age is 24 years
Answer by ikleyn(53618)  (Show Source):
You can put this solution on YOUR website! .
If Amber's age is fourteen less than three times her age six years ago,
she will be sixteen years older than her current age. How old is Amber?
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How the problem is formulated/worded/presented in the post, is a blatant nonsense,
contradicting to human logic.
The solution by @mananth makes this nonsense in degree 2.
The solution by Artificial Intelligence (Google overview of Feb.09, 2026) repeats this nonsense.
https://www.google.com/search?q=If+Amber%27s+age+is+fourteen+less+than+three+times+her+age+six+years+ago%2C+she+will+be+sixteen+years+older+than+her+current+age.+How+old+is+Amber%3F&rlz=1C1CHBF_enUS1071US1071&oq=If+Amber%27s+age+is+fourteen+less+than+three+times+her+age+six+years+ago%2C+she+will+be+sixteen+years+older+than+her+current+age.+How+old+is+Amber%3F&gs_lcrp=EgZjaHJvbWUyBggAEEUYOTIHCAEQIRiPAjIHCAIQIRiPAtIBCDEwMTNqMGo3qAIIsAIB8QX2P9qU19kUUvEF9j_alNfZFFI&sourceid=chrome&ie=UTF-8
One condition is just enough to solve the problem completely, and the second condition
is illogical and is not consistent with the first condition.
So, the reasonable modification to the problem is THIS:
If Amber's age is fourteen less than three times her age six years ago, how old is Amber?
Below is my solution for this modified version.
Let 'x' be the Amber's age now.
Then the problem leads to this equation
3*(x-6) - 14 = x.
Simplify and find x
3x - 18 - 14 = x,
3x - 32 = x,
3x - x = 32,
2x = 32,
x = 32/2 = 16.
ANSWER. Amber is 16 years old now.
Solved.
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Again, the original formulation of the problem is nonsense.
The solution by @mananth is nonsense in degree 2.
The referred solution by the AI is nonsense, too, repeating the nonsense by @mananth.
A reasonable modification and a solution are presented in my post above.
Always remember that @mananth is not a person. It is a computer code,
which may work correctly or incorrectly, but, in distinction of a normal human,
this code does not know in which mode he currently works - in the right mode or in the wrong mode.
This understanding is outside of the range of its abilities.
I N T E R E S T I N G
Today, on Feb.09, 2026, I posted this original formulation to other AI site, math-chat.org.
It was smart enough to recognize that the original formulation is/was defective,
and was smart enough to create a reasonable version, exactly as mine.
It also solved completely for this modified formulation, so it acted as a reasonable human and a qualified solver.
Thus I conclude that AI Google Overview is just outdated version of AI.
Why then they keep its outcome in the first position of the Google search output? - It is just out of logic.
All this information was posted to the Google Overview via their feedback system
with the reference to this web-page.
Answer by josgarithmetic(39736)  (Show Source):
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