Someone sent this to me on WhatsApp and was on my neck to solve it for her. Well, I might love maths but I'm not a fan of brain teasers. I studied it briefly and sent her a reply that the question was "unworkable".
She believed me even without explanation. But I had this to back my response.
The given domain of the question is made up of odd numbers, numbers that divide by two and leave a remainder of 1.
You can't add three odd numbers and the results will be an even number. But the answer to the three empty boxes is 30, which is even number.
Note
Odd + Odd = Even
Examples:
3 + 7 = 10, 10 is Even
11 + 105 = 116, 116 is Even.
Examples:
3 + 7 = 10, 10 is Even
11 + 105 = 116, 116 is Even.
No matter the permutations of any two odd numbers, you will get an even number.
Again,
Even + Odd = Odd, where Even = sum of two odds.
Examples:
4 + 11 = 15, 15 is Odd
20 + 201 = 221, 221 is Odd
Examples:
4 + 11 = 15, 15 is Odd
20 + 201 = 221, 221 is Odd
Therefore, Odd + Odd + Odd can't be equal to Even.
Examples:
3 + 5 + 11 = 19, 19 is not Even
1 + 13 + 1 = 15, 15 is not Even
7 + 7 + 7 = 21, 21 is not Even.
3 + 5 + 11 = 19, 19 is not Even
1 + 13 + 1 = 15, 15 is not Even
7 + 7 + 7 = 21, 21 is not Even.
You can test your own three set of odd numbers.
It's critically crucial to know your numbers at your fingertips because it's building blocks of complex maths situations. A preliminary test of a good student at maths can be revealed by her appreciation of numbers, their patterns and behaviour.
Whole numbers, counting numbers, rational - irrational numbers, even numbers, prime numbers, composite numbers, square numbers, triangular numbers, integers et cetera must be strong focus in handling arithmophobias. Because it's the genesis of all sins in maths.
Note these too.
Odd + Odd = Even
Odd + Even = Odd
Even + Even = Even
Prime + Prime = Even (except 2, because 2 is known as even prime. It's prime and even number at the same time because it divisible by 2 and has only two factors)
Odd + Prime = Even (except 2 as prime)
Odd + Even = Odd
Even + Even = Even
Prime + Prime = Even (except 2, because 2 is known as even prime. It's prime and even number at the same time because it divisible by 2 and has only two factors)
Odd + Prime = Even (except 2 as prime)
I always tell my candidates (pupils) that all prime numbers are odd numbers except 2. This helps them to save time trying to classify a number as prime or odd.
Where are my Mfantsipim students Fabian Japheth and Luqman Mohammed. What do you say? And my respected e-maths teacher Issahaku Dawuda.
Thank you and you may add your contribution!
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