Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. How old is Daniel now?

Guest Apr 21, 2020

#1**+2 **

Hi guest!

This problem was a bit confusing for me - is "Ben and Daniel first met two years ago." extraneous information? It seems like it to me...

Well anyways, let's start.

We know that

\(B=20+D\) (since Ben is 20 years older than Daniel)

\(B-3=3D-3\) (since 3 years ago, Ben was thrice Daniel's age)

Now all we have to do it plug it in.

\(B=20+D\)

\(B=3D\)

\(20+D=3D\)

\(D=10\)

\(D+3= \text{his age now}\)

Daniel is now 13.

lokiisnotdead Apr 21, 2020

#2**+2 **

B = 20 + D

B-3 = 3(D-3) or -B + 3 = -3D+9 add to first equation

3 = -3D+9 + 20 + D

-26 = -2D D = 13

ElectricPavlov Apr 21, 2020