A father is aged three times more than his so | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the present age of Ronit be $x$ years.Since the father is three times older than his son,the father's age is $x + 3x = 4x$ years.After $8 \, \

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) Let the present age of Ronit be $x$ years.Since the father is three times older than his son,the father's age is $x + 3x = 4x$ years.After $8 \, 	ext{years}$,Ronit's age will be $(x + 8)$ and the father's age will be $(4x + 8)$.According to the problem,$(4x + 8) = 2.5(x + 8)$.$4x + 8 = 2.5x + 20$.$4x - 2.5x = 20 - 8$.$1.5x = 12$.$x = 12 / 1.5 = 8$.So,Ronit's present age is $8$ years and the father's present age is $4 	imes 8 = 32$ years.After further $8 \, 	ext{years}$ (total $16 \, 	ext{years}$ from now),Ronit's age will be $8 + 16 = 24$ years.The father's age will be $32 + 16 = 48$ years.Ratio of father's age to Ronit's age $= 48 / 24 = 2$.Thus,the father will be $2$ times the age of Ronit.

$A$ father is aged three times more than his son Ronit. After $8 \, \text{years}$,he would be two and a half times of Ronit's age. After further $8 \, \text{years}$,how many times would he be of Ronit's age?

Similar Questions

$10$ years ago,Mohan was thrice as old as Ram was,but $10$ years hence,he will be only twice as old as Ram. Find Mohan's present age (in years).

Ratio of Ashok's age to Pradeep's age is $4:3$. Ashok will be $26$ years old after $6$ years. How old is Pradeep now? (in years)

The ratio between the ages of a father and a son at present is $5:2$. $4$ years hence,the ratio between the ages of the son and his mother will be $1:2$. What is the ratio between the present ages of the father and the mother?

The ratio of the present ages of two brothers is $1:2$ and $5 \text{ years}$ back,the ratio was $1:3$. What will be the ratio of their ages after $5 \text{ years}$?

The ratio of the present ages of $A$ and $B$ is $7:9$. $6$ years ago,the ratio of $\frac{1}{3}$ of $A$'s age at that time and $\frac{1}{3}$ of $B$'s age at that time was $1:2$. What will be the ratio of $A$'s to $B$'s age $6$ years from now?

Vedclass Test Series

Exam Paper Generator

Online Exam Module