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Christian's father is three times as old as him. Six years ago his father's age was five times Christian's age. What are their ages now?


Sagot :

"Christian's father is three times as old as him"
Let a be christian's father's age and b be christian's age:

a=3b (equation 1)

"six years ago, his father's age was five times christian's age"

a-6=5(b-6)
= a-6=5b-30 (equation 2)

substitute equation 1 to equation 2

= 3b-6=5b-30
= 2b=24
= b=12

substitute the value of b to equation 1

= a=3(12)
= a=36

Christian's father is 36
Christian is 12