Question 979978


You have a proportion


{{{x/y}}} = {{{3/5}}}


and an equation 


x + y = 112,


where &nbsp;<B>x</B>&nbsp; and &nbsp;<B>y</B>&nbsp; are unknown numbers.


From the proportion, &nbsp;x = {{{(3/5)y}}}.


Substitute it into the second equation. &nbsp;You will get


{{{(3/5)y}}} + {{{y}}} = {{{112}}}.


Solve it simplifying step by step:


3y + 5y = 112*5,


8y = 560,


y = {{{560/8}}} = {{{70}}}.


<B>Answer</B>. &nbsp;The greater number is &nbsp;70.