A man is x 2 years old while his son is xyears old.In 4x years time,the man will

Question

A man is x 2 years old while his son is xyears old.In 4x years time,the man will be twice as old as hisson.Form an equation and solve it to find the value of x. Note:- Answer should be x=6 A man is x 2 years old while his son is xyears old.In 4x years time,the man will be twice as old as hisson.Form an equation and solve it to find the value of x. Note:- Answer should be x=6

Explanation / Answer

Man' age: x2 Son's age: x x2 + 4x = 2(x + 4x) => x2 + 4x = 2x + 8x => x2 + 4x = 10x => x2 + 4x - 10x = 0 => x2 - 6x = 0 => x(x - 6) = 0 => x = 0    or    x = 6 x = 6 years is the answer that makes sense within thecontext of this problem.

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