the sum of two numbers is 99, the difference of those two numbers is 9. what are the two numbers???
I believe 54 and 45 would work.
But no work was shown. Was this just trial and error, or was math used?
"the sum of two numbers is 99"
x + y = 99
"the difference of those two numbers is 9."
x - y = 9
Solve one equation for either variable.
x - y = 9
x = y + 9
now substitute this value for x into the other equation.
x + y = 99
(y + 9) + y = 99
2y + 9 = 99
2y = 90
y = 45
Now substitute that numeric value for y into one of the original equations to find the numeric value of x.
x + y = 99
x + 45 = 99
x = 54
yep it does ty...it was an easy problem i just didn't feel like solving it so thnx =]
To find the two numbers, let's assign variables and set up a system of equations based on the given information.
Let's assume the two numbers are x and y.
We know that the sum of the two numbers is 99, so we can write the equation:
x + y = 99 -- Equation 1
We also know that the difference of the two numbers is 9, which implies that x - y = 9:
x - y = 9 -- Equation 2
Now, we have a system of two equations with two unknowns (x and y). We can solve this system of equations using various methods such as substitution, elimination, or matrices.
Let's use the substitution method to solve this system.
From Equation 2, we can rewrite it as x = 9 + y.
Now, substitute the value of x in Equation 1:
(9 + y) + y = 99
Simplifying the equation:
9 + 2y = 99
Subtracting 9 from both sides:
2y = 90
Dividing both sides by 2:
y = 45
Now, substitute the value of y in Equation 1:
x + 45 = 99
Subtracting 45 from both sides:
x = 54
So, the two numbers are x = 54 and y = 45.