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Given : Sanjay's present age is 'y' years

a) Sanjay's age 7 years from now

Present age of Sanjay is 'y' years, After 7 years Sanjay's age will be y + 7

So, the algebraic expression is y + 7

b) Sanjay's brother's age is 4 years less than Sanjay's present age

Present age of Sanjay is 'y' years and Sanjay's brother is 4 years less than Sanjay's present age. It means Sanjay's brother present age is y - 4

So, the algebraic expression is y - 4

c) Sanjay's mother's age is 3 times that of Sanjay's present age

Present age of Sanjay is 'y' years and Sanjay's mother is 3 times that of Sanjay's present age. It means Sanjay's mother present age is 3y

So, the algebraic expression is 3y

d) Sanjay's grandfather's age is 30 years more than Sanjay's mother's age.

We found that Sanjay's mother present age is 3y and Sanjay's grandfather's age is 30 years more than Sanjay's mother's age. It means Sanjay's grandfather present age is 3y + 30

So, the algebraic expression is 3y + 30

e) Sanjay's father's age is 8 years more than 6 times Sanjay's age

Present age of Sanjay is 'y' years and Sanjay's father is 8 years more than 6 times of Sanjay's present age. It means Sanjay's father present age is 6y + 8

So, the algebraic expression is 6y + 8