Answer:
x = 20 and y = 35
Explanation:
So let's say that the two numbers are represented by x and y.
Firstly, the sum of the two is 55, so:
x + y = 55
Secondly, twice the lesser number is 5 more than the greater number, so, assuming x is lesser:
2x = y + 5
Let's isolate y in the second equation:
y = 2x - 5
We can substitute this into the first equation:
x + (2x - 5) = 55
Now we solve for x:
3x - 5 = 55
3x = 60
x = 20
Now that we know what x is, let's substitute that into the first equation and solve for y:
(20) + y = 55
y = 35
Therefore, x = 20 and y = 35
Hope this helps!