Question
Download Solution PDFThe ratio of the present ages of Mona and Vikas is 9 : 10. After 4 years, the ratio of their ages becomes 11 : 12. What is Mona's present age?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Present age ratio of Mona and Vikas = 9 : 10
After 4 years, age ratio of Mona and Vikas = 11 : 12
Formula Used:
Let Mona's present age = 9x and Vikas's present age = 10x
After 4 years, their ages will be (9x + 4) and (10x + 4).
Given ratio after 4 years:
(9x + 4) / (10x + 4) = 11 / 12
Calculation:
(9x + 4) / (10x + 4) = 11 / 12
⇒ 12 × (9x + 4) = 11 × (10x + 4)
⇒ 108x + 48 = 110x + 44
⇒ 108x - 110x = 44 - 48
⇒ -2x = -4
⇒ x = 2
Mona's present age = 9x = 9 × 2 = 18 years
∴ The correct answer is option 1.
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