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#1 2006-10-31 08:36:15

Dharshi
Member
Registered: 2006-10-31
Posts: 56

What is the age?

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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#2 2006-10-31 09:02:02

All_Is_Number
Member
Registered: 2006-07-10
Posts: 258

Re: What is the age?

Dharshi wrote:

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.


You can shear a sheep many times but skin him only once.

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