Meena father age is 6 times Meena age. 5 yrs from now she will be 1 by 3 of her father age. What are their present ages.(by step by step explaination)
Answers
AT PRESENT
Let the age of Meena be x years.
Let the age of father of Meena be y years.
Age of Meena's father = 6 * Age of Meena
y = 6 * x
AFTER 5 YEARS,
Age of Meena = (x + 5) years
Age of father of Meena = (y + 5) years
(x + 5) * 3 = (y + 5). ....(1)
PUT y = 6 * x
(x + 5) * 3 = 6 * x + 5
3x + 15 = 6x + 5
3x = 10
x = 10/3
PUT x = 10/3 in equation 1,
(10/3 + 5) * 3 = y + 5
25/3 * 3 = y +5
y = 25 - 5
y = 20
Age of Meena = 10/3 years
Age of father of Meena = 20 years
Given:
- We have been given that Meena Father age is 6 times of Meena age
- After 5 years Meena will be 1/3 of her father age .
To Find:
- The present ages of Meena and his Father
Solution:
Let the age of Meena = x years
Age of Father = 6x years
After 5 years
Meena age will be = ( x + 5 ) years
Meena Father Age = ( 6x + 5 ) years
______________________________
According to the Question :
=> Meena age = 1/3( Meena Father Age )
=> ( x + 5 ) = 1/3( 6x + 5 )
=> 3( x + 5 ) = ( 6x + 5 )
=> 3x + 15 = 6x + 5
=> 6x - 3x = 10
=> 3x = 10
=> x = 10/3
______________________________
Present age of Meena ( x ) = 10/3 years
Present age of Meena Father ( 6x )
= 6( 10/3 )
= 20 years