The ages of Seema and Rani are in the ratio of 4:5. Five years from now their ages will be in the ratio of 5:6. Find their present age. *
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Answered by
55
Answer :
- Present age of Seema's = 20 years.
- Present age of Rani's = 25 years
Given :
- The ages of Seema and Rani are in the ratio of 4:5.
- Five years from now their ages will be in the ratio of 5:6.
To find :
- Their present ages =?
Step-by-step explanation :
Let, the present age of Seema be 4x.
Then, the present age of Rani be 5x.
Five years from now,
Seema's age = 4x + 5
Rani's age = 5x + 5
According to the question :
➮ 4x + 5/5x + 5 = 5/6
➮ 6(4x + 5) = 5(5x + 5)
➮ 24x + 30 = 25x + 25
➮ 24x - 25x = 25 - 30
➮ -1x = -5
➮ x = 5.
Hence,
The present age of Seema's, 4x = 4 × 5 = 20 years
The present age of Rani's, 5x = 5 × 5 = 25 years
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