Question
6 years ago, the ratio of the ages of Tara and Uma was
5:3. The present age of Sid is 14 years more than half of Uma’s present age. Find the present age of Sid if Tara’s age in 2 years will be 38 years.Solution
Tara and Uma's ages 6 years ago = 5x and 3x Present ages = 5x + 6, 3x + 6 Tara's present age = 38 – 2 = 36 years → 5x = 36 – 6 = 30 → x = 6 Uma's present age = 3(6) + 6 = 24 Sid's present age = (1/2) * 24 + 14 = 26 years
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A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB =...
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