Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel

How old is kevin now?

kevin is 6 years old

Step-by-step explanation:

Let Kevin's age now be a

Daniel's age now be b

Kevin is 3 years older than Daniel. - > a-3 = b

Two years ago, Kevin was 4 times as old as Daniel - > a-2 = 4 (b-2) = 4b - 8

-> a-3 - (a-2) = b - (4b-8)

-> - 1 = - 3 b + 8

-> - 9 = - 3b

-> b = 3

-> a = 6

Present age of Kevin = 6 years

Step-by-step explanation:

Let the present age of Daniel be 'x' years

So, present age of Kevin = (3 + x) years

Two years ago,

Kevin's age was = [ (3 + x) - 2] years

& Danial's age was = (x - 2) years

Its given that two years ago, Kevin was 4 times as old as Daniel

So,

=> (3 + x) - 2 = 4 (x - 2)

=> 3 + x - 2 = 4x - 8

=> 1 + x = 4x - 8

=> 3x = 9

=> x = 3

Therefore, present age of Daniel = 3 years

& Present age of Kevin = 3 + 3 = 6 years