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The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is?
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The age of a person is 8 years more than thrice the age of the sum of ...
Understanding the Problem
To find the person's age when the twins were born, we need to establish the variables and equations based on the information provided.
Define Variables
- Let the current age of the person be P.
- Let the current age of each twin be T.
- Since they are twins, the sum of their ages is 2T.
Equations From the Problem
- First Equation:
P = 3(2T) + 8
P = 6T + 8
- Second Equation:
In 8 years, the person’s age will be P + 8. The twins’ age will be 2T + 16.
According to the problem:
P + 8 = 2(2T + 16) + 10
P + 8 = 4T + 32 + 10
P + 8 = 4T + 42
Therefore, P = 4T + 34
Setting Up the Equations
Now we have two equations:
1. P = 6T + 8
2. P = 4T + 34
Solving the Equations
Setting the two expressions for P equal:
6T + 8 = 4T + 34
2T = 26
T = 13
Now, substituting T back into one of the equations to find P:
P = 6(13) + 8
P = 78 + 8
P = 86
Finding the Age When Twins Were Born
Since the twins are currently 13 years old, they were born 13 years ago. Hence, the person's age when the twins were born is:
86 - 13 = 73 years.
Conclusion
The person was 73 years old when the twins were born.
To find the person's age when the twins were born, we need to establish the variables and equations based on the information provided.
Define Variables
- Let the current age of the person be P.
- Let the current age of each twin be T.
- Since they are twins, the sum of their ages is 2T.
Equations From the Problem
- First Equation:
P = 3(2T) + 8
P = 6T + 8
- Second Equation:
In 8 years, the person’s age will be P + 8. The twins’ age will be 2T + 16.
According to the problem:
P + 8 = 2(2T + 16) + 10
P + 8 = 4T + 32 + 10
P + 8 = 4T + 42
Therefore, P = 4T + 34
Setting Up the Equations
Now we have two equations:
1. P = 6T + 8
2. P = 4T + 34
Solving the Equations
Setting the two expressions for P equal:
6T + 8 = 4T + 34
2T = 26
T = 13
Now, substituting T back into one of the equations to find P:
P = 6(13) + 8
P = 78 + 8
P = 86
Finding the Age When Twins Were Born
Since the twins are currently 13 years old, they were born 13 years ago. Hence, the person's age when the twins were born is:
86 - 13 = 73 years.
Conclusion
The person was 73 years old when the twins were born.
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The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is?
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The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is?.
The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of a person is 8 years more than thrice the age of the sum of his two grandson who were twins. After 8 years his age will be 10 years more than twice the sum of the ages of his grandson. Then the person when the twins were born is?.
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