General Aptitude › Problems on Ages › Question #4439
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QEight years ago, Rohit was four times the age of his son. In eight years, Rohit will be twice the age of his son. What are their current ages?

ID: #4439 Problems on Ages 251 views
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#4439Q ID
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Problems on AgesTopic
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  • A 15, 25 ✔ ✖
  • B 16, 40 ✔ ✖
  • C 16, 48 ✔ ✖
  • D 15, 30 ✔ ✖
Correct Answer

Explanation

Son's age 8 years ago: x years
Rohit's age 8 years ago: y years
Son's age after 8 years: z years
Rohit's age after 8 years: w years

Equations:

y = 4x
z = x + 16
w = 4x + 16
2z = w
Substituting the expression for z and w:

2(x + 16) = 4x + 16
2x + 32 = 4x + 16
2x = 16
x = 8
Substituting this value for x into the expressions for the son's and Rohit's ages:
Son's present age: x + 8 = 8 + 8 = 16 years
Rohit's present age: 4x + 8 = 4 * 8 + 8 = 40 years


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