Question

pat is 25 years older than his son patrick In 7 years pat will be twice as old as patrick how old are they now

Answer 1

Alright, lets get started.

Suppose Pat's current age= x

Suppose his son Patrick's current age = y

Given that Pat is 25 years older than his son patrick, means

`x = y + 25` .......................................equation (1)

After 7 years Pat's age will be = (x+7)

After 7 years Patrick's age will be = (y+7)

After 7 years pat will be twice as old as patrick.

`(x+7) = 2 (y+7)` ...............................equation (2)

From equation (1), putting the value of x in equation (2)

`(y+25 + 7) = 2(y+7)`

`y + 32 = 2y + 14`

Subtrating y in both sides

`y + 32 - y = 2y + 14 - y`

`32 = y + 14`

Subtrating 14 in both sides

`32 - 14 = y + 14 - 14`

y = 18

Hence

`x = y + 25 = 18 + 25 = 43`

It means Pat's age is 43 and Patrick's age is 18. : Answer

Hope it will help :)