Are You Smart Enough (14)

[Robbie]

Q. A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess’s age was half the sum of their present ages.

What are their ages?

[cliff]

Sounds like Surfer_Chick....Just 21:D

[WitchHouse]

?
princess: 40
prince: 30


Edit by Surfer_Chick ... BOGOF you copied my shoutbox answer :p

[surfer_chick]

Princess = 40

Prince = 30

:D

[WitchHouse]

Actually no. I googled it the same as you lol

[cliff]

It’s a bit messy… but using simple algebra… I’m sure there are much easier ways of accomplishing the solution.

Princess: a
Prince: b

0.5*(a+b) a - (0.5*(a+b)) = 0.5*a-0.5*b b - (0.5*a-0.5*b) = 1.5*b-0.5*a 3*b-a
(3*b-a) - a = 3*b-2*a b + (3*b-2*a) = 4*b-2*a a = 4*b-2*a or 3*a = 4*b b+10
0.5*b+5 b - (0.5*b+5) = 0.5*b-5 a - (0.5*b-5) = a-0.5*b+5 b = a-0.5*b+5 or a = 1.5*b-5

Now we have two equations:
3*a = 4*b and a = 1.5*b-5.

Substitute “a” in the first equation for the value of “a” from the second equation:
3*(1.5*b-5) = 4*b

Solving this equation, we get:
b=30

Since a = 1.5*b-5:
a=40

Do i get a piont for doing the working out:D

[surfer_chick]

Nice google Cliff lmao ;)

[surfer_chick]

We all deserve a point each ;)

[WitchHouse]

yeep same place as cliff copied it from lol lol lol word for word lol



Princess: a
Prince: b


http://dan.hersam.com/2006/11/22/a-rather-difficult-brain-teaser/

0.5*(a+b) a - (0.5*(a+b)) = 0.5*a-0.5*b b - (0.5*a-0.5*b) = 1.5*b-0.5*a 3*b-a
(3*b-a) - a = 3*b-2*a b + (3*b-2*a) = 4*b-2*a a = 4*b-2*a or 3*a = 4*b b+10
0.5*b+5 b - (0.5*b+5) = 0.5*b-5 a - (0.5*b-5) = a-0.5*b+5 b = a-0.5*b+5 or a = 1.5*b-5

Now we have two equations:
3*a = 4*b and a = 1.5*b-5.

Substitute “a” in the first equation for the value of “a” from the second equation:
3*(1.5*b-5) = 4*b

Solving this equation, we get:
b=30

Since a = 1.5*b-5:
a=40

[Robbie]

Well done S_C one point added

WhitchHouse ---------one point deducted (for using Google) :p


er.....OK, ONE POINT to Cliff and WhitchHouse and TWO POINTS TO S_C because she's been poorly

[cliff]

You lot sayin i copied:rolleyes:

[WitchHouse]

Bull*hit

unfair. all peps here googled it,

[surfer_chick]

Rofl......... :D