Question 1120587
harris and iris have some stamps.
let h = no. of stamps h has originally
let i - no. that Iris has
:
 If harris gives iris 83 stamps, he will have the same number of stamps as iris.
i + 83 = h - 83
i = h - 83 - 83
i = h - 166
 If iris gives harris 52 stamps, the ratio of the number of stamps iris has to harris will be 4:7. 
{{{(i-52)/(h+52)}}} = {{{4/7}}}
replace i with (h-166)
{{{((h-166)-52)/(h+52)}}} = {{{4/7}}}
{{{(h-218)/(h+52)}}} = {{{4/7}}}
cross multiply
7(h-218) = 4(h+52)
7h - 1526 = 4h + 208
7h - 4h = 208 + 1526
3h = 1734
h = 1734/3
h = 578 stamps has Harris
:
:
:
Check this:
 i = 578 - 166 = 412 for Iris
See if
{{{(412-52)/(578+52)}}} = {{{4/7}}}