The sum of two numbers is 35. The greater

number is 1 less than 5 times the smaller number.

What are the two numbers

x = 29

y = 6

Step-by-step explanation:

Let the two numbers be represented as x and y

x + y = 35

x = 5y - 1

Substitute x as 5y - 1 in equation one

5y - 1 + y = 35

5y + y - 1 = 35

Add 1 to both sides

6y - 1 + 1 = 35 + 1

6y = 36

Divide both sides by 6

6y/6 = 36/6

y = 6

Now substitute y as 6 in any of the equations to get x.

Using equation one,

We have

x + y = 35

x + 6 = 35

Subtract 6 from both sides

x + 6 - 6 = 35 - 6

x = 29