  Question

Question 87 Let Kanika's present age be x years. Complete the following table, showing ages of her ralatives. Situation(described in ordinary language)Expression(i)Her brother is 2 years younger.−−−(ii)Her father′s age exceeds her age by 35 years.−−−(iii)Mother′s age is 3 years less than that of her father.−−−(iv)Her grandfather′s age is 8 times of her age.−−−

Solution

(i) Given, Kanika's present age = x years To get Kanika's brother's age, 2 should be subtracted from her age since Kanika's brother is 2 years younger to her. ∴Kanika's brother's age =(x−2) years                  (ii) Given, Kanika's present age = x years Since Kanika's father's age exceeds her age by 35 years, 35 should be added to her age to get her father's age. ∴Kanika's father's age = Kanika's present age + 35 =(x+35) years (iii) Given, Kanika's present age = x years Her father's age = (x+35) years Since her mother's age is 3 years less than his father's age,  Mother's age = (Father's age - 3) =x+35−3=(x+32) years (iv) Given, Kanika's present age = x years  Kanika's grandfather's age = 8 times of Kanika's age  =8×x=8x years Mathematics

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