deepak is 5 years old than deep. five year ago deepak was twice as old as deep was than. find their present ages.
Answers
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➡️ Let the age of deep = x
➡️ Age of deepak = 5 years
✔️ After 5 years
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➡️ Age of deep = x + 5
➡️ Age of deepak = 5x + 5
According to Question
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➡️ x + 5 = 5x + 5
➡️ 4x = 0
➡️ x = 4
Now age of deep = 4 years
Age of deepak = 5(x) = 5 × 4 = 20 years
Their present ages are 10 and 15 years respectively.
Given:
Deepak is 5 years old than deep. five years ago Deepak was twice as old as deep was then.
To Find:
Their present ages.
Solution:
To find their present ages. we will follow the following steps:
Let the present age of deep = x
According to the question:
Deepak's present age = x + 5
Five years ago deep's age = x - 5
Five years ago Deepak's age will be = 2 × deeps age 5 years ago.
So,
Five years ago Deepak's age will be = 2 × (x - 5).
But Deepak's age 5 years ago can be written = Deepak's present age - 5 = x +5 - 5 = x
Now,
Equate Deepak's age in the two equations 5 years ago.
x = 2 × (x - 5).
x = 2x - 10
2x - x = 10
x = 10
So,
Deep's present age = 10 years
Deepak's present age = x + 5 = 15 years
Henceforth, their present ages are 10 and 15 years respectively.
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