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2000 Paul was twice as old as his brother Biko. In 2008 Paul was only four years older than his brother. In what year was Biko born ? Select one: a. 1996 b. 1990 c. 1992 d. 1998 e. 2000

1 Answer

6 votes

Answer:

a. 1996

Explanation:

Let Paul's age in 2000 be P

Let Bilko's age in 2000 be B

Statement: Paul was twice as old as his brother Biko in 2000 means
P = 2B (1)

In 2008 Paul was only four years older than his brother.

Since 2008 is 8 years from 2000, both Paul and Bilko have aged 8 years

Paul's age in 2008 = P + 8

Bilko's age in 2008 = B + 8

Statement: In 2008 Paul was only four years older than his brother means

P + 8 = B + 8 - 4

P = B + 4 (2)

Given these two equations (1) and (2)

Substitute P = 2B from (1) in (2):
2B = B + 4

==> 2B - B = 4

==> B = 4

Therefore in 2000, Paul was 8 years old and Bilko was 4 years old

Bilko's year of birth = 2000 - 4 = 1996

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