Question

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?
[5 marks]

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
[1 mark]

(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
[1 mark]

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

(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
[1 mark]

(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
[1 mark]