Solve
Guides
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Standard IX
Mathematics
Ratio and Proportion
Question

The age of Sarthak is one-fifth of the age of his mother and the sum of the ages of the son and the mother is equal to the age of the father. After 15 years, the sum of the ages of the son and his mother will be four-third of his fathers age. Find the ratio of the present ages of Sarthak, mother and father respectively.
  1. 1:5:7
  2. 1:5:6
  3. 2:10:10
  4. 2:8:9

A
2:10:10
B
1:5:6
C
1:5:7
D
2:8:9
Open in App
Solution
Verified by Toppr

LettheageofSarthakbexAgeofhismother=5xHisfathersage=Sarthakage+Motherage=6xSoRatioofages=x:5x:6x1:5:6

Was this answer helpful?
1
Similar Questions
Q1
The age of Sarthak is one-fifth of the age of his mother and the sum of the ages of the son and the mother is equal to the age of the father. After 15 years, the sum of the ages of the son and his mother will be four-third of his fathers age. Find the ratio of the present ages of Sarthak, mother and father respectively.
View Solution
Q2
The sum of present ages of a father and his son is 8 years more than the present age of the mother. The mother is 22 years older than the son. What will be the age of the father after 4 years?
View Solution
Q3
The sum of present ages of a father and his son is 50 years. After 5 years, the age of father becomes thrice the age of his son. Find their present ages.
View Solution
Q4
The sum of the ages of father and his son is 65 years. After 5 years, fathers age will be twice the age of his son. Express this as a pair of linear equations in two variables and hence find the presents ages of father and his son.
View Solution
Q5
The present average age of a couple and their son is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the son. Find the present age of mother?
View Solution