The difference between age of two brothers is 3 years five years ago t

1.	The difference between age of two brothers is 3 years five years ago the younger was 2/5 times the age of elder brother and their present age
Answer» $\sf\large\underline{Let:}$ $\rm{The\: present\: age\:of\:elder\: brother=x\: year's}$ $\rm{The\: present\:age\:of\: younger\: brother=y\:year's}$ $\sf\large\underline{To\: Find:}$ $\rm{The\: present\:age\:two\: brother's}$ $\sf\large\underline{Solution:}$ $\sf\large\underline{Given:in\:1st\:case:}$ $\rm{The\: difference\: between\:age\:two\: brothers=3}$ $\rm{\implies x-y=3}$ $\rm\green{\implies x-y=3------(i)}$ $\rm{\implies x=3+y}$ $\sf\large\underline{Given:in\:2nd\:case:}$ $\rm{Five\: years\:ago\: younger\:was\:2/5\: times\:the\:age\:of\: elder\: brother}$ $\rm{\implies y-5=\dfrac{2}{5}(x-5)}$ $\rm{\implies 2x-10=5y-25}$ $\rm{\implies 2x-5y=-25+10}$ $\rm\red{\implies 2x-5y=-15------(<klux>II</klux>)}$ [Putting the VALUE of X=3+y in EQ ii] $\rm{\implies 2x-5y=-15}$ $\rm{\implies 2(3+y)-5y=-15}$ $\rm{\implies 6+2y-5y=-15}$ $\rm{\implies -3y=-15-6}$ $\rm{\implies -3y=-21}$ $\rm\red{\implies y=7}$ [putting the value of y=7 in i] $\rm{\implies x-y=3}$ $\rm{\implies x-7=3}$ $\rm{\implies x=3+7}$ $\rm\red{\implies x=10}$ Hence, $\rm{\implies The\: present\:age\:of\: elder\: brother=10\: year's}$ $\rm{\implies The\: present\:age\:of\: younger\: brother=7\: year's}$