A number puzzle for u

**jeremyparker10** · October 11th 2009, 02:09 PM

There are two numbers with the difference of 3 between them and the difference of their squares is 51.
Can you find the numbers???

**Bruno J.** · October 11th 2009, 02:23 PM

Spoiler:

**mr fantastic** · October 11th 2009, 06:30 PM

Originally Posted by Bruno J.

Suppose the two numbers are $a$ and $b$ , with $a<b$ .

Then the problem says that $b-a=3$ and $b^2-a^2=51$ . Note that $b^2-a^2=(b-a)(b+a)$ . Can you finish now?

I suspect the OP was meant to be a challenge question (which is why the thread was moved to here and why I put spoiler tags around your reply).

**jeremyparker10** · October 12th 2009, 02:21 AM

@ Bruno: yes you are right,,,

But No answers yet??

**HallsofIvy** · October 12th 2009, 07:19 AM

Originally Posted by mr fantastic

I suspect the OP was meant to be a challenge question (which is why the thread was moved to here and why I put spoiler tags around your reply).

Then why post his solution immediately below?

**jeremyparker10** · October 12th 2009, 12:56 PM

X = 10
y = 7

**mr fantastic** · October 12th 2009, 02:51 PM

Originally Posted by HallsofIvy

Then why post his solution immediately below?

I didn't want to delete the reply on the one hand but I didn't want the reply to be in plain sight on the other hand. So my third hand decided a good compromise would be to put spoiler tags around it.

**Wilmer** · October 12th 2009, 09:37 PM

Originally Posted by mr fantastic

So my third hand decided a good compromise would be to put spoiler tags around it.

Is 3 hands what makes you "fantastic"?

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