Question
Download Solution PDFPresent age of Karan is 25 years. After five years, the ratio of age of Karan to Sangeet will be 6 : 7. Find the age of Sangeet age four years ago?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Present age of Karan = 25 years
In 5 years, the ratio of age of Karan to Sangeet = 6 : 7
Formula used:
Let the present age of Sangeet = x
After 5 years, age of Karan = 25 + 5 = 30 years
After 5 years, age of Sangeet = x + 5
Calculations:
The ratio of their ages after 5 years = 6 : 7
⇒ (30) / (x + 5) = 6 / 7
⇒ 7 × 30 = 6 × (x + 5)
⇒ 210 = 6x + 30
⇒ 6x = 210 - 30
⇒ 6x = 180
⇒ x = 180 / 6
⇒ x = 30
Present age of Sangeet = 30 years
Age of Sangeet four years ago = 30 - 4 = 26 years
∴ The age of Sangeet four years ago was 26 years.
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