Question 1(a)
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?
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.
∴ 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.
∴ Sarita's age 3 years back = y - 3
(iii) Since Sarita's age is y, her grandfather's age will be 6×y = 6y
(iv) Sarita's grandfather's age = 6y
It is given that Sarita's Grandmother is 2 years younger than her grandfather
∴ Sarita's grandmother's age = 6y - 2
(v) Given, Sarita's age = y
3 times Sarita's age = 3×y = 3y
Since Sarita’s father’s age is 5 years more than 3 times her age, therefore his age = 3y + 5