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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 fathers age exceeds her age by 35 years.(iii)Mothers age is 3 years less than that of her father.(iv)Her grandfathers 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 =(x2) 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+353=(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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