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Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what?
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Two years ago, Dilip was three times as old as his son and two years h...
Given Information:
- Two years ago, Dilip was three times as old as his son.
- Two years hence, twice his age will be equal to five times that of his son.
Let's assume:
- Present age of Dilip = D
- Present age of his son = S
Formulating the equations:
1. Two years ago, Dilip was three times as old as his son:
D - 2 = 3(S - 2) (Equation 1)
2. Two years hence, twice his age will be equal to five times that of his son:
D + 2 = 2(S + 2)
D + 2 = 2S + 4
D = 2S + 2 (Equation 2)
Solving the equations:
Substitute Equation 2 into Equation 1:
2S + 2 - 2 = 3(S - 2)
2S = 3S - 6
S = 6
Substitute S = 6 into Equation 2:
D = 2(6) + 2
D = 14
Therefore, the present age of Dilip is 14 years.
- Two years ago, Dilip was three times as old as his son.
- Two years hence, twice his age will be equal to five times that of his son.
Let's assume:
- Present age of Dilip = D
- Present age of his son = S
Formulating the equations:
1. Two years ago, Dilip was three times as old as his son:
D - 2 = 3(S - 2) (Equation 1)
2. Two years hence, twice his age will be equal to five times that of his son:
D + 2 = 2(S + 2)
D + 2 = 2S + 4
D = 2S + 2 (Equation 2)
Solving the equations:
Substitute Equation 2 into Equation 1:
2S + 2 - 2 = 3(S - 2)
2S = 3S - 6
S = 6
Substitute S = 6 into Equation 2:
D = 2(6) + 2
D = 14
Therefore, the present age of Dilip is 14 years.
Community Answer
Two years ago, Dilip was three times as old as his son and two years h...
Let 2 years ago D and S have their age in be in ratio 3x:x (given)
then D's present age shall be 3x+2 and S's present age be x+2
now 2 years hence D and S ages will be (3x+2)+2 =3x+4 and (x+2)+2=x+4 respectively.
we are given 2(3x+4)=5(x+4)
6x+8=5x+20
x=12
hence present age of Ð( or DILIP) is 3x+2=3×12+2=38 ans
then D's present age shall be 3x+2 and S's present age be x+2
now 2 years hence D and S ages will be (3x+2)+2 =3x+4 and (x+2)+2=x+4 respectively.
we are given 2(3x+4)=5(x+4)
6x+8=5x+20
x=12
hence present age of Ð( or DILIP) is 3x+2=3×12+2=38 ans
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Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what?
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Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what?.
Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two years ago, Dilip was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Then the present age of Dilip is what?.
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