General Aptitude › Problems on Ages › Question #4414
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QIf a person's present age is two-fifths of the age of their mother and they will be one-half of their mother's age after 8 years, how old is the mother currently?

ID: #4414 Problems on Ages 264 views
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#4414Q ID
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Problems on AgesTopic
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  • A 32 years ✔ ✖
  • B 36 years ✔ ✖
  • C 40 years ✔ ✖
  • D 47 years ✔ ✖
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Explanation

At present, the person's age is one-half of their mother's age plus 8 years. The mother's current age can be represented as x. The person's current age is 2/5x. In 8 years, the person will be 1/2x + 8 years old. Since the person's current age is 2/5x and in 8 years they will be 1/2x + 8 years old, the mother's current age is x. 2/5x = 1/2x + 8 This simplifies to x = 40 years old.

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