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Let the age of son be a
Father's age = 45 - a
According to question
(a - 5)(45 - a - 5) = 4(45 - a - 5)
=> a - 5 = 4
=> a = 4 + 5
=> a = 9
Son's age = 9 years
Father's age = 36 years
Father's age = 45 - a
According to question
(a - 5)(45 - a - 5) = 4(45 - a - 5)
=> a - 5 = 4
=> a = 4 + 5
=> a = 9
Son's age = 9 years
Father's age = 36 years
aryanrarhbro:
first read the question properly and dont cram answers daufer
I think you need to read the question..
i have read you read it properly
Answered by
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Let father's age be x and son's be 45-x.
Five years ago,
(x-5)(45-x-5) = 4(x-5)
=>(x-5)(40-x)=4x-20
=>40x-x²-200+5x=4x-20
=>x²+4x-40x-5x-20+200=0
=>x²+(-41x)+180=0
=>x²-41x+180=0
180 can be splitted as -36 and -5.
=>x²-36x-5x+180=0
=>x(x-36)-5(x-36)=0
=>(x-5)(x-36)=0
Hence,x=5 and x=36.
But son cannot be elder than his father.
Thus,
Father's age=36 years.
Son's age=5 years.
Hope you understand this.
Five years ago,
(x-5)(45-x-5) = 4(x-5)
=>(x-5)(40-x)=4x-20
=>40x-x²-200+5x=4x-20
=>x²+4x-40x-5x-20+200=0
=>x²+(-41x)+180=0
=>x²-41x+180=0
180 can be splitted as -36 and -5.
=>x²-36x-5x+180=0
=>x(x-36)-5(x-36)=0
=>(x-5)(x-36)=0
Hence,x=5 and x=36.
But son cannot be elder than his father.
Thus,
Father's age=36 years.
Son's age=5 years.
Hope you understand this.
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