Question

ali and sam have the same amount of money.Sam gave ali 15$ then the ratio became 7:5 how much money did they start with?

Answer 1

90$

Explanation:

Initially Sam and Ali have the same amount. After Sam gives Ali $ 15, the ratio of amounts becomes 7 : 5.

Let the initial amount with either of Sam and Ali be
`x`.

`x` is in dollars.

After the transaction, Sam has
`x-15` and Ali has
`x+15`.

Now, Ratio of Ali's to Sam's is 7:5

So,
`(x+15)/(x-15)=(7)/(5)\\\\5x+75=7x-105\\2x=180\\x=90`

∴ Initially both had $ 90.