how old is your mother?
Algebra
Level
1
A person's age is two-fifth of the age of his mother.After 8 years, he will be one- half of the age of his mother. How old is she at present?
The answer is 40.
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1 solution
Let mother's present age = X years. Therefore , person's present age = 2X/5 years. After 8 years : - Mother's age = (X+8) years. Person's age = (2X/5+8) years. According to the question : - 1/2 x (X+8) = 2x/5+8, X = 40. Mother's present age = 40 years.