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RRB ALP 14th Aug 2018 Shift-2 Question 5

Question 5

Roshan’s current age is three years less than 1.5 times that of Usha’s. 12 years ago Usha’s age was three years more than half of Roshan’s age. What is Roshan’s present age in years?

Solution

current age usha = x

Current age of Roshan = 1.5x  - 3

12years ago Rosha's age = 1.5x - 3 - 12 = 1.5x - 15

12 years ago usha's age = 3 + 1/2 (1.5x - 15)

Also, we have usha's age 12 years ago =  x - 12

=> x-12 = 3 + 1/2 (1.5x - 15)

2x - 24   = 6 + 1.5x - 15

2x - 24 = 1.5x - 9

0.5x = 24- 9

0.5x = 15

x =15/0.5 = 30

Roshan's current age = 1.5x  - 3 = 45 - 3 =42years



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