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Abya's age after six years will be three-seventh of his father's age . Ten years ago, the ratio of their ages was 1 : 5. What is Abya's father's age at present?
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Abya's age after six years will be three-seventh of his father's age . Ten years ago, the ratio of their ages was 1 : 5. What is Abya's father's age at present?
Let a = Abya'a current age.
Let f = Abya's father's current age.
Abya's age after six years will be three-seventh of his father's age .
a+6 = (3/7)*(f+6)
so: a = (3f+18)/7 - 6
Ten years ago, the ratio of their ages was 1 : 5.
a-10 = (1/5)(f-10)
so: a = (f-10)/5 + 10
by substituting for a we get:
(3f+18)/7 - 6 = (f-10)/5 + 10
Solving for f yields:
f=50
Abya's father is presently 50 years old.
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