Andrew had $85 and Brian had $45 initially.
Well done Mike !
Looked difficult at first (to me) but wasn’t …
If you add the square of Albert’s age to the age of Brian, the result is 62. However, if you add the square of Brian’s age to the age of Albert, the sum is 176.
Simple question - what are the ages of Albert and Brian ?
Looked at the obvious equation route but realised it was too complex.
Then looked at the range of possible ages for Albert (assuming integers) and realised there were a maximum of 7 possible answers. The answer was the first one I tried.
Well done Steve. That’s exactly what I did … including the obvious equation route that was going to be too complex ![]()
I used the equation route. I used a couple of techniques that we have used on occasions in this thread. After subtracting the first given equation from the second:
- Use: B^2 - A^2 = (B + A)(B - A)
- Factorise the constant: 114 = 2x3x19. I used 6x19 as the most likely one, which worked!
Edit: Mrs R’s approach differed from mine. She firstly noted that the difference in age must be even (ages are either both even or both odd). Then she used trial and error, starting with the nearest square number below 62. It dropped out immediately.
I’m pretty sure that’s what SteveD did, and it’s certainly what I did (after looking at a couple of equations !)
Well done Ravvie.
I think its about time for someone to write down the actual ages …
7 and 13 were my answers.
Thank you Steve.
I think you, me and Mrs R were in agreement throughout, regarding both the method and the outcome.
No maths or numbers this time …
What gets wet as it dries ?
A towel.
Nicely done Cat, nicely done.
Write down a formula for the Volume (V) of a pizza, Radius (z) and Thickness (a).
You can use ‘Pi’ rather than the more difficult character (‘∏’)