Question 1206851

using google translate, you have this:

Ali and Samuel both had the same amount of money after Samuel gave ${{{15}}} to Ali. 

let initial amount of money either of them have be {{{x}}}

then Samuel gave ${{{15}}} to Ali, now  Samuel has {{{x-15}}}

and  Ali has {{{x+15}}}


if the ratio of Ali's money to Samuel's was {{{7:5}}}, we have


{{{(x+15)/(x-15)=7/5}}} ....cross multiply

{{{5(x+15)=7(x-15)}}}

{{{5x+75=7x-105}}}

{{{105+75=7x-5x}}}

{{{180=2x}}}

{{{x=90}}}


 at the beginning 

Ali had {{{x+15=90+15=105 }}}

and 

Samuel had {{{x-15=90-15=75}}}