TS Police Constable Prelims 2022 · Question 35

Question 35 of the TSLPRB Police Constable Preliminary Written Test 2022 (28 August 2022). Try it first, then open the answer and explanation.

1. PC Prelims 2022 · Q35 · Arithmetic · Ratio, Average & Ages

   The ratios of the ages of two persons before 6 years and after 6 years are 3 : 8 and 7 : 12 respectively. Their present ages respectively are

   1. 10, 30
   2. 20, 35
   3. 15, 30
   4. 12, 25

   6 సంవత్సరాల క్రిందట, 6 సంవత్సరాల తర్వాత ఇద్దరి వయస్సుల నిష్పత్తులు వరుసగా 3 : 8 మరియు 7 : 12. వారి ప్రస్తుత వయస్సులు వరుసగా

   1. 10, 30
   2. 20, 35
   3. 15, 30
   4. 12, 25
   Show answer

   Answer: (3) 15, 30

   సమాధానం: (3) 15, 30

   (x − 6)/(y − 6) = 3/8 gives 8x − 3y = 30 and (x + 6)/(y + 6) = 7/12 gives 12x − 7y = −30; solving, x = 15 and y = 30. Check: 9 : 24 = 3 : 8 and 21 : 36 = 7 : 12.

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