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Answers
Question:
Shraddha is 40 years old and Smita is 20 years old. How many years ago was Shraddha three times as old as Smita.
Given:
➵ Shraddha is 40 years old
➵ Smita is 20 years old.
To Find:
How many years ago was Shraddha three times as old as Smita?
Solution:
Let x years ago was Shraddha three times as old as Smita.
Age of Shraddha x years ago = 40 - x
Age of Smita x years ago = 20 - x
Now we know that Shraddha three times as old as Smita so we will do three times i.e., will multiply 3 by Smita's age that will equal to Shraddha's age.
According to question,
40 - x = 3 ( 20 - x )
Now multiply 3 by both 20 and x.
3 × 20 = 60
3 × x = 3x
➩ 40 - x = 60 - 3x
➩ - x + 3x = 60 - 40
➩ 2x = 20
➩ x = 20/2
➩ x = 10
∴ 10 years ago was Shraddha three times as old as Smita.
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Answer:
Here is your answer
Step-by-step explanation:
(40-x) = 3(20-x)
40-x = 60-3x
3x-x = 60-40
2x = 20
x = 20/2
x = 10
It means that she was 3 times of Shraddha’s age before 10 years.