Is 16 a prime age?

We can start by listing all of the prime numbers less than 41. The possible prime ages are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37.

cemc.uwaterloo.ca - In Their Prime - CEMC

What zodiac signs do not get along at all?

Aries folks probably shouldn't get involved with a Pisces or a Cancer. ... Tauruses and Leos might have a hard time. ... Scorpio is probably one of...

Last updated Apr 7, 2020

Which zodiac signs are obese?

Top-3 Zodiac Signs That Are Prone to Be Overweight Taurus (April 20 – May 21): The Gourmet. ... Gemini (May 21 – June 21): The Sweet Tooth. ......

Last updated Feb 26, 2020

Do you really know who the “One” is? Your true Soulmate?

Promotion

Problem of the Week

Problem C and Solution

In Their Prime

Problem

A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16.

Determine all possibilities for the ages of the children.

Solution

We can start by listing all of the prime numbers less than 41. The possible prime ages are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37. We could actually eliminate some of the larger primes from this list since there are three different primes in the sum. Now we will look for all prime pairs from this list that differ by 16. The pairs include 3 and 19, 7 and 23, and 13 and 29. We will look at each of these pairs and determine the third number so that the sum of the three ages is 41. For the pair 3 and 19, the third age would be (41-3 - 19=19), which is prime. The ages of the three children would be 3, 19, and 19. This is a possible solution. For the pair 7 and 23, the third age would be (41-7 - 23=11), which is prime. The ages of the three children would be 7, 11, and 23. This is another possible solution. For the pair 13 and 29, the sum of these two ages is (13 + 29 = 42). This sum is already over 41, so this is not a possible solution. Therefore, there are two possibilities for the ages of the children. The children are either 7, 11 and 23 years old or 3, 19 and 19 years old.

For further thought: How would the problem change if the words “prime number” were removed from the problem and replaced with “positive integer”?

What are my big 3 zodiac signs?

Your Big 3 in astrology refers to your Sun sign, your moon sign, and your rising sign. These three, found in your unique birth chart, say a lot...

Last updated Oct 29, 2018

Is shaking a baby a crime?

Normally a defendant will face a mandatory five year minimum jail sentence for these charges. When the baby dies, the charge is murder or...

Last updated Nov 14, 2021

Promotion

How do you know if a girl likes you?

Signs a Girl Likes You Her friends and family know about you. ... She reschedules a date she can't make. ... She makes an effort to continue the...

Last updated Feb 1, 2020

At what age do we get a soul?

The dominant theory is that the soul enters at conception. Some teach that the soul does not enter the fetus until 40 days after conception. All...

Last updated Jun 27, 2021

Promotion

What occupation has the highest depression rate?

Which Jobs Are Most Susceptible to Depression? Construction Workers. According to the CDC, construction workers are some of the most depressed...

Last updated Sep 27, 2021

Promotion

How to attract a woman physically?

Lust Is Complicated, But Studies Show These 19 Things Make Men More Attractive to Women Look for the universal signals of flirtation. Look for...

Last updated Oct 31, 2022