59. Ten years ago, Kumar was thrice as old as Selva was but 10 years hence, he will be only twice as old. Find Kumar’s present age.
[A] 60 years
[B] 80 years
[C] 70 years
[D] 76 years
Answer : C
Explanation :
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Let Kumar’s present age be x years and Selva’s present age be y years.
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Then, according to the first condition,
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x - 10 = 3(y - 10) or, x - 3y = -20
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..(1)
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Now. Kumar's age after 10 years = (x + 10) years
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Selva's age after 10 years = (y + 10)
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(x+10) = 2 (y+10) or, x - 2y = 10
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..(2)
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Solving (1) and (2), we get x = 70 and y = 30
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Kumar's age = 70 years and Selva's age = 30 years.
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