Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.
How old is Daniel now?

Daniel is 8years old

Step-by-step explanation:

Let the age of Kelvin be K

Let the age of Daniel be d

Kelvin is 3 times as old as Daniel. This is written as:

K = 3d (1)

Four years ago:

Kevin's age is: K — 4

Daniel's age is: d — 4

But 4 years ago, we were told that Kevin was 5 times as old as Daniel. This is illustrated below as:

K — 4 = 5 (d — 4)

Clearing the bracket, we have:

K — 4 = 5d — 20

K = 5d — 20 + 4

K = 5d — 16 (2)

Substituting the value of K from equation 2 into equation 1:

K = 3d

5d — 16 = 3d

Collect like terms

5d — 3d = 16

2d = 16

Divide both side by 2

d = 16/2

d = 8years

Therefore, Daniel is 8years old.

step-by-step explanation: