Question

Raja is 14 years younger than his cousin. After 5 years, their ages will be in the ratio 1:2. Find their present ages.​

Answer 1

Answer:

Present age of Raja is 9yrs and his cousin is 23yrs

Step-by-step explanation:

Let the present age of Raja's cousin be xyrs

Raja' s present age = (x-14)yrs [Since difference between Raja and his cousin's age is 14 years]

After 5 yrs

Raja's cousin's age = (x+5)yrs

Raja's age = {(x-14)+5}yrs

Given ratio of age = 1:2

ATP,

{(x-14)+5}/(x+5) = 1/2

=> (x-9)/(x+5) = 1/2

=> 2(x-9) = 1(x+5) [Cross multiplication]

=> 2x-18 = x+5

=> x = 23

So, Raja's cousin's age is 23 yrs

Raja's age = 23-14 = 9yrs

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