Question 1130608
The difference in their ages never changes
The sum does change
----------------------------
In 5 yrs time from now, 5 yrs gets added to
both of their ages, so 10 yrs gets added to the sum
----------------------------
{{{ x - 10 }}} is the sum of their ages now
Let Raj's age now = {{{ y }}}
Ethan's age now is {{{ 5y }}}
-----------------------------
At present:
{{{ y + 5y = x - 10 }}}
{{{ 6y = x - 10 }}}
{{{ y = ( x - 10 )/6 }}}
This is Raj's age now
------------------------------
check:
{{{ ( x - 10 )/6 + 5 + ( 5*( x - 10 ))/6 + 5 = x }}}
{{{ x - 10 + 30 + 5x - 50 + 30 = 6x }}}
{{{  6x = 6x }}}
OK