Question

Answer the following:

Take Sarita’s present age to be $y$ years.

(i) What will be her age $5$ years from now?

(ii) What was her age $3$ years back?

(iii) Sarita’s grandfather is $6$ times her age. What is the age of her grandfather?

(iv) Grandmother is $2$ years younger than grandfather. What is grandmother’s age?

(v) Sarita’s father’s age is $5$ years more than $3$ times Sarita’s age. What is her father’s age?

Answer 1

Given, Sarita's present age is $y$ years.

(i) To get Sarita's age five years from now, we should add $5$ to her present age.

$\therefore$ Sarita's age $5$ years from now $=y+5$

(ii)

To get Sarita's age $3$ years back, we should subtract $3$ from her present age.

$\therefore$ Sarita's age $3$ years back $=y-3$

(iii) Since, Sarita's age is $y$, her grandfather's age will be $6\times y$ $=6y$

(iv) Sarita's grandfather's age $=6y$
It is given that Sarita's Grandmother is $2$ years younger than her grandfather

$\therefore$ Sarita's grandmother's age $=6y-2$

(v) Given, Sarita's age $=y$

3 times Sarita's age = $3\times y$ $=3y$

Since, Sarita’s father’s age is $5$ years more than $3$ times her age, therefore his age $=3y+5$