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Question

Let Kanika's present age be x years. Complete the following table, showing ages of her relatives.

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.

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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


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