Multiple choice

If ratio of ages of P and Q before 4 year ago is 5 : 4 and after 12 years sum of their ages will be 68 years, their what was P’s age 2 years ago ? यदि 4 वर्ष पहले P और Q की आयु का अनुपात 5: 4 है और 12 वर्ष के बाद उनकी आयु का योग 68 वर्ष होगा , तो P की आयु 2 वर्ष पहले क्या थी?

  1. 24 years / वर्ष

  2. 22 years/ वर्ष

  3. 18 years/ वर्ष

  4. 26 years/ वर्ष

  5. None of these इनमे से कोई नहीं
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B Correct answer
Explanation

Let ages 4 years ago be 5P and 4Q. Current ages: 5P+4 and 4Q+4. After 12 years: 5P+16 and 4Q+16. Given sum = 68: 5P+4Q+32 = 68, so 5P+4Q = 36. Also P:Q = 5:4, so Q = 4P/5. Substituting: 5P + 4(4P/5) = 36. This gives P = 4. P's current age = 5(4)+4 = 24. P's age 2 years ago = 22.

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