Question

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

Situation (described in ordinary language)	Expressions
(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 grand father’s age is 8 times of her age.	______

Answer 1

Situation (described in ordinary language)	Expressions
(i) Her brother is 2 years younger.	(x – 2) years
(ii) Her father’s age exceeds her age by 35 years.	(x + 35) years
(iii) Mother’s age is 3 years less than that of her father.	(x + 32) years
(iv) Her grand father’s age is 8 times of her age.	8x years

Explanation:

Given, Kanika’s present age = x years

(i) Her brother’s age = x – 2 years  ...[Her brother is 2 years younger]

(ii) Kanika’s present age = x years

Father’s age = Kanika’s present age + 35 = x + 35 years

(iii) Kanika’s present age = x years

Father’s age = (x + 35) years  ...[From part (ii)]

And Mother’s age = Father’s age – 3 = x + 35 – 3 = (x + 32) years

(iv) Kanika’s present age = x years

Now, grandfather’s age = 8 times of Kanika’s age = 8 × x = 8x years