The age of grandmother is square of her granddaughter's age. Four years ago, she was 15 times the child age. Find their present age.
Answers
Given : The age of grandmother is square of her granddaughter's age.
Four years ago, she was 15 times the child age.
To Find : their present age.
Solution :
granddaughter's age. = x years
The age of grandmother is square of her granddaughter's age.
=> age of grandmother = x² years
Four years ago, granddaughter's age. = x - 4 years
Four years ago, grandmother age. = x² - 4 years
15 times the child age.
=> x² - 4 = 15(x - 4)
=> x² - 4 = 15x - 60
=> x² - 15x + 56 = 0
=> x² - 7x - 8x + 56 = 0
=> (x - 7)(x - 8) = 0
=> x = 7 or x = 8
x² = 49 or x² = 64
their present ages can be 49 & 7 years
or 64 and 8 Years
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