Question

the sum of Ages of mother and her daughter is 40 years five year ago the mother's age was square of her daughter age find their present age by taking x years as the daughter present age,frame an equation in x solve for x.

Answer 1

Five years ago :

The daughter : (x - 5) years

Mother : (x - 5)²

This equals : x² - 10x + 25

Current age :

Of daughter : X

Mother : X² - 10x + 25 + 5 = x² - 10x + 30

Sum of their ages :

X + (X² - 10X + 30)

X² - 9x + 30 = 40

X² - 9X - 10 = 0

The roots are - 10 and 1

X² + 1x - 10x - 10 = 0

X(X +1) - 10(X +1) = 0

(X - 10) (X + 1) = 0

X - 10 = 0

X + 1 = 0

X = 10 or - 1

Since age cannot be negative, we take 10

X = 10

Answer 2

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