Question

a) One number is five more than another number and the sum of the two numbers is 55, what are the numbers?

Answer 1

25 and 30

Explanation:

To solve this problem, we can do a system of equations. Let x and y be your unknown numbers;

`x+5=y\\x+y=55`

We can substitute the first equation for y in the second equation.

`x+(x+5)=55\\2x+5=55\\2x=50\\x=25`

Now that we know the value of x, we can plug x into the first equation to solve for y.

`25+5=y\\y=30`

Thus, the two numbers are 25 and 30.