Question

: sam's age is one-fourth of his father's age and two-third of his sister rita's. what is the ratio of the ages of sam, rita and their father respectively?

Answer 1

Ratio of
Sam's Age to Father's Age
         1          :           4
Sam's Age to Rita's Age
         2          :           3

Since Sam's age is given in both of the ratios. So, we need to make Sam's age ratio equal in both of them. In order to do so, we need to multiply Ratio of Sam's Age to Father's age by 2.

The Result comes

Sam's age to Father's age
        2          :            8
Sam's age to Rita's Age
       2           :            3

 Since we have now Sam's age equal in both the ratios. Combine them.
Ratio of
Sam's age : Rita's age : Father's age
      2           :        3         :           8


There is your answer. If you are satisfied. Please mark my answer as the brainliest.

Answer 2

Ratio of  ages of Sam, Rita and their father  is 2 : 3 : 8  if Sam's age is one-fourth of his father's age and two-third of his sister Rita's.

Given:

Sam's age is one-fourth of his father's age

Sam's age is two-third of his sister Rita's.

To Find:

Ratio of the ages of Sam, Rita and their father

Solution:

Step 1:

Assume that Sam's age is  x years

Step 2:

Find father age as Sam's age is one-fourth of his father's age

x =  (1/4) Father Age

=> Father Age = 4x

Step 3:

Find Rita age as Sam's age is two third of Rita age

x =  (2/3) Rita Age

=> Rita Age = 3x/2

Step 4:

Find Ratio of  ages of Sam, Rita and their father

x : 3x/2 : 4x

Step 5:

Multiply each ratio with 2 and divide by x

2 : 3 :  8

Hence Ratio of  ages of Sam, Rita and their father  is 2 : 3 : 8