17. The present ages of Ram and Shyam are in the
ratio 5 : 6. Five years ago, the ratio was 4:5. Find
their present ages.
Answers
Solution :-
Given : The present ages of Ram and Shyam are in the ratio 5 : 6.
Five years ago, the ratio was 4 : 5.
Let the present ages of Ram and Shyam be 5x and 6x respectively.
According to the question,
=> (5x - 5)/(6x - 5) = 4/5
=> 5(5x - 5) = 4(6x - 5)
=> 25x - 25 = 24x - 20
=> 25x - 24x = - 20 + 25
=> x = 5
Hence,
Their present ages are :
Ram's age = 5x = 5 × 5 = 25 years
Shyam's age = 6x = 6 × 5 = 30 years.
Answer:
The present age of Ram = 25 years.
The present age of Shyam = 30 years.
Step-by-step explanation:
Let the present age of Ram be 5x.
Let the present age of Shyam be 6x.
Five years ago,
The age of Ram = 5x - 5
The age of Shyam = 6x - 5
According to the given information,
=> (5x - 5)/(6x - 5) = 4/5
=> 5(5x - 5) = 4(6x - 5)
=> 25x - 25 = 24x - 20
=> 25x - 24x = -20 + 25
=> 25x - 24x = 25 - 20
=> x = 5
.°. x = 5
Therefore,
Now, putting the given values of x.
The present age of Ram
=> 5x = 5 × 5 = 25 years
The present age of Shyam
=> 6x = 6 × 5 = 30 years