Divya's father's age is 3times of her age.After 12 years her father's age is 2 times of her age.Find their present ages?
Answers
Answer:
divya's present age=12 years
her father's present age=36years
Step-by-step explanation:
Let divyas present age be x
let her father's age =y
by data,
y=3x------(1)
y+12=2(x+12)
•: y=2x+24-12=2x+12-------(2)
from (1) and (2) we get,
3x=2x+12
•: x=12
•: y=3(12)=36
Divya's present age is 12 years and Divya's father's present age is 36 years.
Solution:
It is given that,
Divya's father's age is 3 times of her age.
Thus;
Let the present age of Divya be xyears
and the present age of her father's age be 3x years.
Also,
Divya's age after 12 years will be ;
(x + 12) years.
And ,
Divya's father's age after 12 years will be ; (3x + 12) years.
According to the question;
After 12 years Divya's father is two times of her age.
ie;
=> 3x + 12 = 2(x + 12)
=> 3x + 12 = 2x + 24
=> 3x - 2x = 24 - 12
=> x = 12
Thus,
Divya's present age
= x years
= 12 years
And,
Divya's father's present age
= 3x years
= 3•12 years
= 36 years
Hence,