the sum of the age of two children is 13 yrs and the product of their age is 36 find their age explain in simple language
Answers
Question:-
the sum of the age of two children is 13 yrs and the product of their age is 36 find their age explain in simple language
Answer:-
[ Note: The Question was re-worded since I asked it. There wasn't the "blue eyes" or "number of windows" as originally stated.]
Usually when this problem is given, there's an additional clue.
Here's an example:
Igor: I forgot how old your three kids are.
Pavel: The product of their ages is 36.
Igor: I still don't know their ages.
Pavel: The sum of their ages is the same as your house number.
Igor: I still don't know their ages.
Pavel: The oldest one has red hair.
Igor: Now I know their ages!
The factorizations of 36 are:
1,1,36 sum = 38
1,2,18 sum = 21
1,3,12 sum = 16
1,4,9 sum = 14
1,6,6 sum = 13
2,2,9 sum = 13
2,3,6 sum = 11
3,3,4 sum = 10
For the problem posed as above, we know the ages are 2, 2, and 9.
Why? Because 13 is the only duplicate sum. Igor would know the ages if Pavel's house number were any other. Because he needed an additional fact, and we know he has an _oldest_ child, then it must be 2,2,9
To answer the second part of the question: there's no formal way to solve problems like this. You would enumerate the factorizations and then, given the clues in the question, see if you can make one answer logically fit the story. In this case 2,2,9 is the best fit.
hope it helps you☺