16. A father is 30 years older than his son. In 12 years, the
father will be three times as old as his son. Find their
present ages.
Answers
Answered by
5
Let the present age of the son be x
Father is 30 years older than son = x + 30
After 12 years :
Son's age = x + 102
Father's age = x + 30 + 12 = x + 42
According to the question :
3(x + 12) = x + 42
3x + 36 = x + 42
3x - x = 42 - 36
2x = 6
x = 6/2
x = 3
Present age of son = x = 3 years
Present age of father = x + 30 = 3 + 30 = 33 years
Answered by
2
Let present age of
Son=x
Father=y
Given that
x+30=y
x=y-30
In 12 years
son will be
x+12=(y-30)+12
=y-18
in 12 years
Father will be
y+12
Given that
y+12=3 (x+12)
y+12=3 ((y-30)+12)
y+12=3 (y-18)
y+12=3y-54
54+12=3y-y
66=2y
2y=66
y=66/2
y=33
Fathers present age is 33
x=y-30
x=33-30
x=3
Son's present age is 3
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