Question 696496
Denote the numbers by l and s



"sum of two numbers is 37"
{{{ s+l=37 }}} .......... Eq(1)



"sum of the smaller and 5 times the larger is 169"
{{{ s + 5l=169 }}} .......... Eq(2)



Solve the equations simultaneously:
Eq (2) - Eq(1):
{{{ (s-s) + (5l-l) = 169-37 }}}
{{{ 4l = 132 }}}
{{{ l = 33 }}}



Substitute {{{ l = 33 }}} into Eq(1):
{{{ s+33=37 }}}
{{{ s=4 }}}



"Find the numbers"
s=4, l=33