The sum of two numbers is 55. Twice the lesser number is 5 more than the greater number. Find both numbers.

x = 20 and y = 35

Step-by-step 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!

step-by-step explanation: