Q17) Sushila is now 4 times as old as sunil . Five years ago Sushil was 7 times as old as Sunil was then.find the present age of each of them..
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Answers
Answered by
6
- Let the age of Sunil be x years
So, the age of Sushila is 4x years
According to the question,
Five years ago Sushil was 7 times as old as Sunil was then
Thus, both ages 5 years ago
- Sunil = (x-5) years
- Sushila = (4x - 5) years
Now, ATQ
Equation will be
⇒ (4x - 5) = 7(x - 5)
⇒ 4x - 5 = 7x - 35
⇒ 35 - 5 = 7x - 4x
[By transporting (-35) to LHS and (4x) to RHS]
⇒ 30 = 3x
⇒ 30 ÷ 3 = x
[By transporting 3 to LHS]
⇒ 10 = x
Hence,
- Age of Sunil is = x years = 10 years
- Age of Sushila = 4x = 4*10 = 40 years.
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Answered by
4
- Sushila is now 4 times as old as sunil . Five years ago Sushil was 7 times as old as Sunil was then.
- Present age.
Present age of Sunil = x
Present age of Sushila = 4x
Five years ago :
Age of sunil = x - 5
Age of Sushila = 4x - 5.
Now,
4x - 5 = 7(x - 5)
4x - 5 = 7x - 35
7x - 4x = 35 - 5
3x = 30
30/3 = x
10 = x
Now,
- Present age of Sunil = 10 years.
- Present age of Sushila = 4(10) = 40 years.
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