# The mathematical split [closed]

A mathematical split:

Can you split 34 into two parts such that four-seventh of one of these parts equals two-fifths of the other?

This puzzle is from a book so I can't give you a link.

• I don't really think this is a riddle. After all it's just a pair of simultaneous equation Aug 19, 2020 at 16:48
• Ok, but I can't delete it. Aug 19, 2020 at 16:49
• It's ok! No need to delete. It will likely be closed, but if you learn from your questions that get closed then it will help you make much better puzzles in the future! Aug 19, 2020 at 16:51
• I voted to close ;-) Aug 19, 2020 at 16:52
• @BeastlyGerbil Why did you answer it then? :-) Aug 19, 2020 at 17:06

Some simple simultaneous equations:

$$4/7x = 2/5y$$
$$x + y = 34$$

$$x = 34 - y$$
$$4/7(34 - y) = 2/5y$$
$$136/7 - 4/7y = 2/5y$$
$$34/35y = 136/7$$
$$y = 20$$
$$x = 14$$

• It's much easier than that. Their ratio is $x:y :: \frac25:\frac47 :: 14:20$, so they are $\frac{14}{34}$ and $\frac{20}{34}$ of the total. Aug 19, 2020 at 17:41