Present ages of Aahna and Vaibhav are in the ratio 3 : 5 . Nine years from now the ratio of their ages was be 4 : 5 . Find their present ages.
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Answered by
15
Answer :
- Aahna age = 5.4 years
- Vaibhav age = 9 years
Given :
- Present age of Aahna and Vaibhav are in the ratio 3:5
- Nine years from now the ratio of their ages was be 4:5
To find :
- Present age
Solution :
Given,the age of Aahna and Vaibhav are in the ratio 3:5 so,
- Let the age of Aahna and Vaibhav be 3x and 5x
Given,
Nine years from now the ratio of their ages was be 4:5 so,
- 3x + 9 / 5x + 9 = 4/5
》3x + 9 / 4x + 9 = 4/5
cross multiplying we get,
》5(3x + 9) = 4(5x + 9)
》15x + 45 = 20x + 36
》20x - 15x = 45 - 36
》5x = 9
》x = 5/9
Finding the present age :
- Aahna = 3x = 3(5/9) = 27/5 or 5.4 years
- Vaibhav = 5x = 5(5/9) = 45/5 = 9 years
Hence,
- Aahna age = 5.4 years
- Vaibhav age = 9 years
Answered by
422
ɢɪᴠᴇɴ :
- Present ages of aahna and vaibhav are in ratio 3 : 5.
- Nine years from now their ratio of their ages was be 4 : 5.
ᴛᴏ ғɪɴᴅ :
- Find their present ages.
Let their ages be 3x and 5x.
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