a couple stayed three years before having their first born, 2 years later, their second born, 2 years later their third born and so on until their fifth born.if the husband was 28 years and the wife was 25 years at the time of thier marriage. Find the sum of their ages a year before the birth of their fifth born
the 5th-born was 3+2*4=11 years after the marriage.
so the sum is
28+11 + 25+11 = ___
To find the sum of their ages a year before the birth of their fifth child, we need to calculate the ages of both the husband and wife at that time.
Step 1: Determine the age of the husband at the time of the fifth child's birth.
The couple stayed three years before having their first child, so the husband was 28 + 3 = 31 years old when their first child was born.
The second child was born 2 years later, so the husband's age would be 31 + 2 = 33 years.
Using the same logic, the ages of the husband at the time of the subsequent births are: 33 + 2 = 35 years, 35 + 2 = 37 years, and 37 + 2 = 39 years.
Step 2: Determine the age of the wife at the time of the fifth child's birth.
The wife was 25 years old at the time of their marriage, so her age at the birth of their first child would be 25 + 3 = 28 years.
Using the same logic, the ages of the wife at the time of the subsequent births are: 28 + 2 = 30 years, 30 + 2 = 32 years, and 32 + 2 = 34 years.
Step 3: Calculate the sum of their ages a year before the birth of their fifth child.
For the husband, his age at that time would be 39 - 1 = 38 years.
For the wife, her age at that time would be 34 - 1 = 33 years.
Therefore, the sum of their ages a year before the birth of their fifth child is 38 + 33 = 71 years.
To find the sum of their ages a year before the birth of their fifth child, we need to calculate their ages at that time.
Let's break down the timeline:
1. The couple got married when the husband was 28 and the wife was 25.
2. They stayed married for 3 years before having their first child. After 3 years of marriage, the husband's age would be 28 + 3 = 31 and the wife's age would be 25 + 3 = 28.
3. Then, they waited for 2 more years to have their second child. So, the husband's age becomes 31 + 2 = 33 and the wife's age becomes 28 + 2 = 30.
4. They continued this pattern for their third, fourth, and fifth children, waiting for 2 years between each child.
To find the sum of their ages a year before the birth of their fifth child:
A year before the birth of the fifth child means we need to subtract 1 from the ages we calculated above.
Husband's age: 33 - 1 = 32
Wife's age: 30 - 1 = 29
Finally, we can calculate the sum of their ages:
Sum of their ages = Husband's age + Wife's age = 32 + 29 = 61.
Therefore, the sum of their ages a year before the birth of their fifth child is 61.