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The present age of Akhil and Vinay is 27 and 36 years respectively. After how many years from now, will the ratio of their ages be 4 : 5?
  • a)
    4 years
  • b)
    5 years
  • c)
    6 years
  • d)
    9 years
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The present age of Akhil and Vinay is 27 and 36 years respectively. Af...
Given the present ages of Akhil and Vinay are 27 and 36 years respectively
⇒ Let us consider after ‘x’ years the ratio of their ages will be 4 : 5
Their ages after ‘x’ years will be (27 + x) and (36 + x) years respectively
⇒ From the condition,
(27 + x)/(36 + x) = 4/5
⇒ (27 + x) × 5 = (36 + x) × 4
⇒ 135 + 5x = 144 + 4x
⇒ 5x – 4x = 144 – 135
⇒ x = 9 years
∴ The ratio of their ages will be in the ratio 4 : 5 after 9 years from the present ages
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The present age of Akhil and Vinay is 27 and 36 years respectively. After how many years from now, will the ratio of their ages be 4 : 5?a)4 yearsb)5 yearsc)6 yearsd)9 yearsCorrect answer is option 'D'. Can you explain this answer?
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