Five years ago, a father was 3 times as old as his son, now their combined ages amount to 110years. thus, the present age of the father is
 

  • A 75 years
  • B 60 years
  • C 98 years
  • D 80 years
  • E 105 years
jamb 1978mathematics

The correct answer is D. 80 years

Let's denote the son's current age as x and the father's current age as y. From the problem, we have two equations:

1. y - 5 = 3(x - 5) (Five years ago, the father was three times as old as his son)
2. x + y = 110 (Their current ages sum up to 110)

Solving these two equations will give us the current ages of the son and the father.

From equation 1, we can express y in terms of x:

y = 3x - 10

Substituting this into equation 2 gives:

x + 3x - 10 = 110

Solving for x gives x = 30. 

Substituting x = 30 into equation 2 gives y = 80

So, the father is currently 80 years old.

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