- Father is 3 times more aged than his daughter. If after 5 years, he would be 3 times of
daughter's age, then further after 5 years, how many times he would be of his daughters
age?
a. 1 (72) times b. 2 times
c. 2.5 times
d. 3 times
e. None of these
Answers
Answer:
Step-by-step explanation:
Let daughters age be x
Father's age =3x+x=>4x
After 5 years
Daughters age=x+5
Father's age =3x+15
4x+5=3x+15
=>X=10
After another 5 years
Daughters age=x+10=>20
Father's age=>3x+15+5
3×10+20=50
=>2.5 times
Given:
Father is 3 times more aged than his daughter. If after 5 years, he would be 3 times of daughter's age, then further after 5 years,
To Find:
how many times he would be of his daughters age?
a. 1 (72) times
b. 2 times
c. 2.5 times
d. 3 times
e. None of these
Solution:
Let the age of the daughter be x, then the age of the father would be,
=x+3x
=4x(fathers age)
After 5 years the ages now will be,
daughter= x+5
father= 4x+5
and it is also said that now after 5 years the father's age is 3 times the age of his daughter, from this we can equate that,
3(x+5)=4x+5
3x+15=4x+5
x=10
So the current age of them are
daughter=x+5
=15
father=4x+5
=45
So their age after 5 more years will be
daughter=20
father=50
which is 50/20=2.5 times the age of his daughter.
Hence, the correct option is (c).