Question
Download Solution PDFWhat are the current ages of Antony and Betty if their ages are in the ratio 8 : 9 now and will be in the ratio 9 : 10 four years from now ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Current ratio of ages = 8 : 9
Future ratio of ages (after 4 years) = 9 : 10
Formula used:
Let current ages be 8x and 9x years.
Future ages will be 8x + 4 and 9x + 4 years.
Given future ratio:
(8x + 4) / (9x + 4) = 9 / 10
Calculation:
⇒ 10 × (8x + 4) = 9 × (9x + 4)
⇒ 80x + 40 = 81x + 36
⇒ 81x - 80x = 40 - 36
⇒ x = 4
Current ages:
Antony = 8 × 4 = 32 years
Betty = 9 × 4 = 36 years
∴ The correct answer is Antony is 32 years old and Betty is 36 years old.
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