Question

Ram is thrice as old as Shyam, 5 years ago Ram's age was 5 times Shyam's age. Find their present ages.

Answer 1

Answer:

Present age of Shyam. Let the present age of Shyam be y years. five years ago his age was three times of Shyam's age. °• Present age of Ram = x = 20 years.

Answer 2

Answer:

Present age of Ram = x = 20 years.

Step-by-step explanation:

Given that :

Ram is twice as old as Shyam.

Five years ago his age was three times of Shyam's age.

To find:

Present age of Ram.

Present age of Shyam.

Solution:

Let the present age of Ram be x years

Let the present age of Shyam be y years.

As per second condition :-

Ram is twice as old as Shyam

Representing mathematically,

x = 2y ---> 1

As per second condition:-

five years ago his age was three times of Shyam's age.

Ages 5 years ago :-

Ram's age = x - 5 years

Shyam's age = y - 5 years

Representing the second condition mathematically,

x - 5 = 3 ( y - 5)

x - 5 = 3y - 15

x - 3y = - 15 + 5

x - 3y = - 10 -----> 2

Substitute value of x in equation 2,

2y - 3y = - 10

- y = - 10

y = 10

Substitute value of y in equation 1,

x = 2y ---> 1

x = 2 ( 10)

x = 20

•°• Present age of Ram = x = 20 years.

Present age of Shyam = y = 10 years