Answer:
The number of marbles Richard has 24 and John has 6.
Explanation:
Richard has four times as many marbles as john.
If Richard have 18 to John they would have the same number.
Now, to find number of marbles each has.
Let the marbles of John be
.
And the marbles of Richard be
![4x.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3jslbouzbok788qzuy3wdc6cf0l6p1au3v.png)
According to question:
![4x=x+18.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4moereixvr9k7nrxfvgng8rsp5f3kvv38a.png)
Subtracting both sides by
we get:
![3x=18.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y5i2ia0dxy0vfaydmyl4id5b898sm91wsr.png)
Dividing both sides by 3 we get:
![x=6.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sikwqda9nwjw7nogzqjrzfan1dbkc3r0zh.png)
Marbles of John =
![6.](https://img.qammunity.org/2020/formulas/mathematics/high-school/s76vzwb62ue4koeqz3n21b5v9x6njj23ew.png)
Marbles of Richard =
![4x=4* 6=24](https://img.qammunity.org/2020/formulas/mathematics/middle-school/be1me8zcvnhqv87bhrohs3cmyk5rbdm73b.png)
Therefore, the number of marbles Richard has 24 and John has 6.