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Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old as his son. The present age of the man is –
- a)28 years
- b)30 years
- c)32 years
- d)34 years
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Six years hence a man's age will be three times the age of his son...
Let the present age of man is x and of son is y.
Six years hence,
Man’s age =x+6
Son’s age=y+6
Man’s age is 3 times son’s age
x+6=3(y+6)
x+6=3y+18
x=3y+12 …...1
Three years ago,
Man’s age =x-3
Son’s age=y-3
Man’s age was 9 times as of son
x-3=9(y-3)
x-3=9y-27
x=9y-24 ….2
From 1 and 2
3y+12=9y-24
6y=36
y=6
x=3*6+12=18+12=30 years
Six years hence,
Man’s age =x+6
Son’s age=y+6
Man’s age is 3 times son’s age
x+6=3(y+6)
x+6=3y+18
x=3y+12 …...1
Three years ago,
Man’s age =x-3
Son’s age=y-3
Man’s age was 9 times as of son
x-3=9(y-3)
x-3=9y-27
x=9y-24 ….2
From 1 and 2
3y+12=9y-24
6y=36
y=6
x=3*6+12=18+12=30 years
Most Upvoted Answer
Six years hence a man's age will be three times the age of his son...
Let the son age=x and man age =y Then A/C to question Y+6=3(x+6) _____ .....(.i) equation Y-3=9(x-3) _______........(ii) equation Then Y+6=3x+18 Y-3=9x-27 Subtract (ii) equation from (i) Y+6-Y+3=3x+18-9x+27 9=6x+45 6x=45-9 6x=36 X=6 Then In the (i) equation Y+6=3x+18 X=3x+18-6 X=3x+12 X=3.6+12 X=18+12 X=30 Man's age=30 years
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Community Answer
Six years hence a man's age will be three times the age of his son...
Let the present age of man is x and of son is y.
Six years hence,
Man’s age =x+6
Son’s age=y+6
Man’s age is 3 times son’s age
x+6=3(y+6)
x+6=3y+18
x=3y+12 …...1
Three years ago,
Man’s age =x-3
Son’s age=y-3
Man’s age was 9 times as of son
x-3=9(y-3)
x-3=9y-27
x=9y-24 ….2
From 1 and 2
3y+12=9y-24
6y=36
y=6
x=3*6+12=18+12=30 years
Six years hence,
Man’s age =x+6
Son’s age=y+6
Man’s age is 3 times son’s age
x+6=3(y+6)
x+6=3y+18
x=3y+12 …...1
Three years ago,
Man’s age =x-3
Son’s age=y-3
Man’s age was 9 times as of son
x-3=9(y-3)
x-3=9y-27
x=9y-24 ….2
From 1 and 2
3y+12=9y-24
6y=36
y=6
x=3*6+12=18+12=30 years
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Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old ashis son. The present age of the man is –a)28 yearsb)30 yearsc)32yearsd)34yearsCorrect answer is option 'B'. Can you explain this answer?
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Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old ashis son. The present age of the man is –a)28 yearsb)30 yearsc)32yearsd)34yearsCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old ashis son. The present age of the man is –a)28 yearsb)30 yearsc)32yearsd)34yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six years hence a man's age will be three times the age of his son and three years ago he was nine times as old ashis son. The present age of the man is –a)28 yearsb)30 yearsc)32yearsd)34yearsCorrect answer is option 'B'. Can you explain this answer?.
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