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The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.?
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The age of the father is twice that of his elder son ,ten years hence ...
Given information:
- Age of the father is twice that of his elder son
- Ten years hence, the age of the father will be three times that of the younger son
- The difference in age between the two sons is 15 years
Let's solve the problem step by step:
Step 1: Setting up the equations
Let the present age of the elder son be x years.
Therefore, the present age of the younger son will be (x-15) years.
According to the given information, the age of the father is twice that of his elder son. So, the present age of the father is 2x years.
Step 2: Formulating equations
- Ten years hence, the age of the father will be (2x + 10) years.
- Ten years hence, the age of the younger son will be (x-15 + 10) = (x-5) years.
According to the second given condition, the age of the father 10 years hence will be three times that of the younger son. So, we can form the equation:
2x + 10 = 3(x-5)
Step 3: Solving the equation
Solving the equation:
2x + 10 = 3x - 15
x = 25
Step 4: Finding the present age of the father
Present age of the father = 2x = 2 * 25 = 50 years
Therefore, the present age of the father is 50 years.
- Age of the father is twice that of his elder son
- Ten years hence, the age of the father will be three times that of the younger son
- The difference in age between the two sons is 15 years
Let's solve the problem step by step:
Step 1: Setting up the equations
Let the present age of the elder son be x years.
Therefore, the present age of the younger son will be (x-15) years.
According to the given information, the age of the father is twice that of his elder son. So, the present age of the father is 2x years.
Step 2: Formulating equations
- Ten years hence, the age of the father will be (2x + 10) years.
- Ten years hence, the age of the younger son will be (x-15 + 10) = (x-5) years.
According to the second given condition, the age of the father 10 years hence will be three times that of the younger son. So, we can form the equation:
2x + 10 = 3(x-5)
Step 3: Solving the equation
Solving the equation:
2x + 10 = 3x - 15
x = 25
Step 4: Finding the present age of the father
Present age of the father = 2x = 2 * 25 = 50 years
Therefore, the present age of the father is 50 years.
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The age of the father is twice that of his elder son ,ten years hence ...
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The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.?
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The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.?.
The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The age of the father is twice that of his elder son ,ten years hence the age of the father will be three times that of the younger son.if the diffrence of the ages of the ages of the two sons is 15 years , find the present age of the father.?.
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