Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7 : 9, find the age of Sachin.
Question
Sachin is younger than Rahul by 7 years. If the ratio of their ages is 7 : 9, find the age of Sachin.
Solution
Step 1: Let's denote Sachin's age as S and Rahul's age as R. From the problem, we know that R = S + 7.
Step 2: We also know that the ratio of their ages is 7:9, which can be written as S/R = 7/9.
Step 3: Now we can substitute R from step 1 into step 2: S/(S+7) = 7/9.
Step 4: Cross multiply to get 9S = 7(S+7).
Step 5: Simplify to get 9S = 7S + 49.
Step 6: Subtract 7S from both sides to get 2S = 49.
Step 7: Divide both sides by 2 to get S = 24.5.
So, Sachin is 24.5 years old.
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