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One Grandfather Has Three Grandchildren, Two Of Their Age Difference Is 3, Eldest Child Age Is 3 Times Youngest Childs Age And Eldest Childs Age Is Two Times Of Sum Of Other Two Children. What Is The Age Of Eldest Child?
Correct answer is '15'. Can you explain this answer?
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Verified Answer
One Grandfather Has Three Grandchildren, Two Of Their Age Difference I...
Let the three grandchildren age be a,b and c
Thus, a is youngest, c is eldest.
c = 3a.........(i)
c = 2+(a+b)..........(ii)
=> 3a = 2+a+b
=> 2a = 2+b
Thus, the ages are.....
a, 2a-2 , 3a.
Thus, a is youngest, c is eldest.
c = 3a.........(i)
c = 2+(a+b)..........(ii)
=> 3a = 2+a+b
=> 2a = 2+b
Thus, the ages are.....
a, 2a-2 , 3a.
Two of their difference is 3.
Thus, a- 2 =3 or a+2 =3 or 2a =3
a =5 or a =1 or a =3/2.
Thus, a- 2 =3 or a+2 =3 or 2a =3
a =5 or a =1 or a =3/2.
Thus ages are, 5,8,15
or , 1,0 3 (not possible). or 3/2, 1, 9/2 (not possible.).
The answer is 15.
or , 1,0 3 (not possible). or 3/2, 1, 9/2 (not possible.).
The answer is 15.
Most Upvoted Answer
One Grandfather Has Three Grandchildren, Two Of Their Age Difference I...
Problem:
One grandfather has three grandchildren. Two of their age difference is 3. The eldest child's age is 3 times the youngest child's age, and the eldest child's age is two times the sum of the other two children. What is the age of the eldest child?
Solution:
Let's solve this problem step by step:
Step 1: Assign variables to the unknown ages.
Let's assume the age of the youngest child as 'x' years.
The age of the eldest child would be '3x' years.
And the age of the third child would be 'x + 3' years (as the age difference between the youngest and third child is 3).
Step 2: Use the given information to create equations.
From the problem statement, we know that:
The eldest child's age is two times the sum of the other two children, so we can write the equation as:
3x = 2(x + (x + 3))
Step 3: Solve the equation.
Let's simplify the equation:
3x = 2(2x + 3)
3x = 4x + 6
3x - 4x = 6
-x = 6
x = -6 (rejecting this solution because age cannot be negative)
x = 6
Step 4: Find the age of the eldest child.
Now that we know the age of the youngest child is 6 years, we can substitute this value into any of the initial equations to find the age of the eldest child:
Eldest child's age = 3x = 3 * 6 = 18 years.
Conclusion:
Therefore, the age of the eldest child is 18 years.
One grandfather has three grandchildren. Two of their age difference is 3. The eldest child's age is 3 times the youngest child's age, and the eldest child's age is two times the sum of the other two children. What is the age of the eldest child?
Solution:
Let's solve this problem step by step:
Step 1: Assign variables to the unknown ages.
Let's assume the age of the youngest child as 'x' years.
The age of the eldest child would be '3x' years.
And the age of the third child would be 'x + 3' years (as the age difference between the youngest and third child is 3).
Step 2: Use the given information to create equations.
From the problem statement, we know that:
The eldest child's age is two times the sum of the other two children, so we can write the equation as:
3x = 2(x + (x + 3))
Step 3: Solve the equation.
Let's simplify the equation:
3x = 2(2x + 3)
3x = 4x + 6
3x - 4x = 6
-x = 6
x = -6 (rejecting this solution because age cannot be negative)
x = 6
Step 4: Find the age of the eldest child.
Now that we know the age of the youngest child is 6 years, we can substitute this value into any of the initial equations to find the age of the eldest child:
Eldest child's age = 3x = 3 * 6 = 18 years.
Conclusion:
Therefore, the age of the eldest child is 18 years.
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One Grandfather Has Three Grandchildren, Two Of Their Age Difference Is 3, Eldest Child Age Is 3 Times Youngest Childs Age And Eldest Childs Age Is Two Times Of Sum Of Other Two Children. What Is The Age Of Eldest Child?Correct answer is '15'. Can you explain this answer?
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One Grandfather Has Three Grandchildren, Two Of Their Age Difference Is 3, Eldest Child Age Is 3 Times Youngest Childs Age And Eldest Childs Age Is Two Times Of Sum Of Other Two Children. What Is The Age Of Eldest Child?Correct answer is '15'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about One Grandfather Has Three Grandchildren, Two Of Their Age Difference Is 3, Eldest Child Age Is 3 Times Youngest Childs Age And Eldest Childs Age Is Two Times Of Sum Of Other Two Children. What Is The Age Of Eldest Child?Correct answer is '15'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One Grandfather Has Three Grandchildren, Two Of Their Age Difference Is 3, Eldest Child Age Is 3 Times Youngest Childs Age And Eldest Childs Age Is Two Times Of Sum Of Other Two Children. What Is The Age Of Eldest Child?Correct answer is '15'. Can you explain this answer?.
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