The sum of Tonya's parents' ages is 78 years. Each parent's age is a prime number. Both parents are more than 20 years old. Her father is older than her mother. How could each parent be?
Liu/Cons -- please use the same name for your posts.
How do you think you can solve this problem?
https://www.mathsisfun.com/prime_numbers.html
To find the possible ages of Tonya's parents, we need to consider the given information:
1. The sum of Tonya's parents' ages is 78 years.
2. Each parent's age is a prime number.
3. Both parents are more than 20 years old.
4. Her father is older than her mother.
Let's go through the process step by step to find the potential ages of each parent:
Step 1: Start by listing down the prime numbers between 20 and 78 (inclusive), as both parents are more than 20 years old.
Prime numbers between 20 and 78: 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79
Step 2: From the list above, we can see that the possible ages for her father are 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, and 79.
Step 3: Since the sum of their ages is 78 years, we need to find a combination of ages from the list calculated in Step 2 that adds up to 78.
Let's go through the possible combinations:
a. Father (37) + Mother (41) = 78
b. Father (41) + Mother (37) = 78
c. Father (43) + Mother (35) = 78 (Not within the given range, as Mother's age cannot be less than 20)
d. Father (47) + Mother (31) = 78
e. Father (31) + Mother (47) = 78
Step 4: After checking the combinations, we see that there are two possible sets of ages for Tonya's parents:
i. Father at 37 years old and Mother at 41 years old.
ii. Father at 47 years old and Mother at 31 years old.
So, the possible ages of Tonya's parents are either 37 and 41 or 47 and 31.