Question 316528
Call the two numbers x and y. Let's say x is larger than y. 

The larger number, x, is 4 times the smaller number, y. Written as an equation this says {{{ x = 4*y}}}. 

The sum is 41, so {{{ x + y = 41}}}.Now we can substitute our equation for x into this one. 

{{{ x + y = 41}}} 
{{{ 4*y + y = 41}}} 
{{{ 5y = 41 }}}
{{{y = 41/5 = 8.2 }}}

Then {{{x = 4*y = 4 * 8.2= 32.8}}}. 

Now we can check: indeed, the larger number 32.8 is 4 times the smaller number 8.2. When you add them, 32.8 + 8.2, you get 41, so this checks.