Problems based on Ages

Quantitative Aptitude ( CCS)

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Ten years ago, Khush was thrice as old as Sam was but 10 years hence, he will be only twice as old. Find Khush’s present age?

Explanation:

Let Khush’s present age be x years and Sam’s present age be y years
Then, according to the first condition,
x – 10 = 3(y – 10)
or, x – 3y = -20 ……..(1)
Now. Khush’s age after 10 years = (x + 10) years
Sam’s age after 10 years = (y + 10)
(x+10) = 2(y+10)
or, x – 2y = 10 ……..(2)
Solving (1) and (2), we get
x = 70 and y = 30
Khush’s age = 70 years and Sam’s age = 30 years

By: Manpreet kaur

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