Twice a number plus twice a second number is 310. the difference between the numbers is 55

50  &  105

Step-by-step explanation:

We need to find the 2 numbers >>>>

Let first number be a

and second number be b

Also, let a < b

Now, "twice a number PLUS twice another number is 310". Thus, we can write an equation as:

2a + 2b = 310

The difference (larger minus smaller) is 55, so we can write:

b - a = 55

also can be written as b = 55 + a

Now we replace 1st equation with 2nd equation and write an equation in "a" and solve for a first:

We know,

b = 55 + a

so

b = 55 + 50

b = 105

So the two numbers are 50  &  105

450 is the final answer! : )