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Polya created his famous four-step process for problem solving, which is used all over to aid people in problem solving:
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret
Attachments:
![](https://hi-static.z-dn.net/files/df2/e5fff545d52ab2bd7b29fd434a48849b.jpg)
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Step-by-step explanation:
Polya's method:-
Step-1:-
A) Understanding the problem:-
Let the age of Angie be X years and
The age of Rose be Y years
Step -2:-
B)Devise a plan:-
Angie's age is no less than 6 more than Rose's age.
X≥Y+6 -------(1)
The sum of their ages is greater than 18
X+Y>18-------(2)
Step -3:-
C) Carry out the plan:-
Equation (1) can be written as
X≥Y+6
=>X-6≥Y+6-6
=>X-6≥Y
=>Y≤X-6
and Equation (2) becomes
X+Y>18
=>Y> -X+18
Step-4:-
D) Look back:-
(30,20)
20≤30-6
20≤24
and
30+20>18
50>18
Things to remember:-
There are 4 steps in the Polya's method.They are
Step 1: Understand the problem.
Step 2: Devise a plan (translate).
Step 3: Carry out the plan (solve).
Step 4: Look back (check and interpret)
Attachments:
![](https://hi-static.z-dn.net/files/df1/46df5302ac415169325d7328006eab62.jpg)
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