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
Correct Answer: Option D
Explanation
Let the present ages of father be x and son = y
five years ago, father = x – 5
son = y – 5
x – 5 = 3(y – 5)
x – 5 = 3y – 15
x – 3y = -15 + 5 = -10 ……(i)
x + y = 110……(ii)
eqn(ii) – eqn(i)
4y = 120
y = 30
sub for y = 30 in eqn(i)
x -10 = 3(30)
x -10 = 90
x = 80