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# Answer the following if Sarita’s present age is $'y'$ years.a) What will be her age $5$ years from now?b) What was her age $3$ years back?c) Sarita’s grandfather is $6$ times her age. What is the age of her grandfather?d) Grandmother is $2$ years younger than grandfather. What is her grandmother’s age?e) Sarita’s fathers age is $5$ years more than $3$ times Sarita’s age. What is her father’s age?

Last updated date: 22nd Feb 2024
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Hint: In order to find the different ages of Sarita at different times of her life, initiate with the present age given. Then if the age is increasing then add the number of age increases in the present age, or subtract if needed to find the age back. Similarly, we can compare the given age with the age of others, if needed to find a relation.

Complete step by step solution:
Given, Sarita’s present age is $y$ years.

a) Her age after $5$ years from now:
Adding five to the present age as it’s asking for the age after $5$ years from now, so her age will be increasing by one every year.
So accordingly, Sarita’s age after $5$ years from now $= y + 5$.

b) Her age $3$ years back:
Subtracting three from the present age as it’s asking for the age $3$ years back from now, so her age will be less than the present age.
So accordingly, Sarita’s age $3$ years back was $= y - 3$.

c) Her grandfather’s age:
Sarita’s present age $= y$
Her grandfather’s age is $6$ times her present age.
So, multiplying $6$ in Sarita’s present age:
Therefore, Her grandfather’s age$= 6y$.

d) Her Grandmother’s age:
Sarita’s grandfather age $= 6y$.
Her grandmother is $2$ years younger than him. So, subtracting $2$ from Grandfather’s age, and we get:
So accordingly, Sarita’s grandmother’s age $= 6y - 2$.

e) Sarita’s father Age:
Sarita’s present age $= y$ years.
Since, Sarita’s father's age is $5$ years more than $3$ times Sarita’s age.
So, multiplying $3$ in Sarita’s present age and adding $5$ years to it.
Therefore, Sarita’s father Age $= 3y + 5$.

Note:
> The age of the other person like grandfather’s, father’s from Savita’s age is a relation between their ages; it's not their actual age.
> There is no rule or use of division operators in these relations.