Rakesh is twice as old as his cousin.After 4 years the ratio of their ages will be 3:2 What are their present ages
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Answered by
23
Given :
- Rakesh is twice as old as his cousin.
- After 4 years the ratio of their ages will be 3:2.
To find :
- Their present ages =?
Step-by-step explanation :
Let, the present age of Rakesh's cousin be x.
Then, the present age of Rakesh's be 2x.
After 4 years age of Rakesh's cousin = x + 4
After 4 years age of Rakesh's = 2x + 4.
According to the question :
➮ 2x + 4/x + 4 = 3/2
➮ 2(2x + 4) = 3(x + 4)
➮ 4x + 8 = 3x + 12
➮ 4x - 3x = 12 - 8
➮ x = 4
Therefore, We got the value of, x = 4.
Hence,
The present age of Rakesh's cousin = 4 years
The present age of Rakesh's = 2x = 2 × 4 = 8 years
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9
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