Question

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel

Answer 1

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Explanation:

The question is

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

`x=4y`-----> equation A

`x=y+6` ----> equation B

Equate equation A and equation B

`4y=y+6`

solve for y

`4y-y=6`

`3y=6`

`y=2`

therefore

Daniel's age is 2 years

Find the value of x

substitute the value of y in any of the two equations

`x=4(2)=8\ years`

`x=2+6=8\ years`

therefore

Kevin's age is 8 years