General Aptitude › Problems on Ages › Question #4438
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QThe father's current age is 3 years greater than three times the age of his son. In three years, the father's age will be 10 years more than twice the son's age. What is the current age of the father?

ID: #4438 Problems on Ages 266 views
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#4438Q ID
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  • A 33 ✔ ✖
  • B 30 ✔ ✖
  • C 45 ✔ ✖
  • D 38 ✔ ✖
Correct Answer

Explanation

Son's age: x years
Father's age: y years

Equation 1: y = 3 + 3x
Equation 2: y + 3 = 2(x + 3) + 10
Substituting equation 1 into equation 2: 3 + 3x + 3 = 2(x + 3) + 10
Combining like terms: 3x + 6 = 2x + 16
Subtracting 2x from both sides: x + 6 = 16
Subtracting 6 from both sides: x = 10
Substituting this value for x into equation 1: y = 3 + 3x
Substituting 10 for x: y = 3 + 3 * 10
Simplifying: y = 3 + 30
Simplifying further: y = 33
Therefore, the father's present age is 33 years.

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