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Q.

Sachin is younger than Rahul by 4 yrs. If their ages are in the respective ratio of 7:9, how old is Sachin ?


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a

16 years

b

18 years

c

14 years

d

15 years 

answer is C.

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Detailed Solution

Concept: Given that Sachin is 4 years younger than Rahul and that their ages are 7:9 apart, respectively. Let's say Rahul is x years old. Sachin is four years younger than Rahul. Sachin's age is therefore (x-4) years. The age ratio will be as indicated by the question.
Question Image[5]
Substituting the values in equation 1
Question Image Here x is the age of Rahul’s
Sachin’s age x-4,
=Question ImageHence, option 3 is the correct answer.
 
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Sachin is younger than Rahul by 4 yrs. If their ages are in the respective ratio of 7:9, how old is Sachin ?