Alex D.
1 Expert Answer
Andrew M. answered • 04/20/15
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors
The sum of two numbers is 24 so we have: X + Y = 24
The 2nd number is 6 less than the first so: Y = X-6
Replace Y with X-6 in the first equation giving:
Now find Y which is X - 6 ... Y = 15 - 6 = 9
The two numbers are 15, 9
Taylor H. I have to get two equations and solve to get X and y but I dont no how to get the equations to find x and y please help.
3 Answers By Expert Tutors
Tad H. answered • 10/11/15
A result oriented and experienced tutor.
This is a simultaneous equation.
If you add the equations, i,e
(x + y) + (x -y) = 24+16 = 40
Now solving for x you get,
Once you get the value of x, then it becomes easy to find y. I leave that to you.
Let's assume the two numbers are x and y
Adding (1) and (2) x+y=24
=> x =20 dividing both sides by 2
Substituting 20 for x in (1), 20+y=24
=> y=4 .... subtracting 20 from both sides
Hence, the two numbers are 20 and 4.
substitute to 1st equation: X + 4 = 24 so X = 24-4 and X = 20
so to check: 20+4 = 24 and 20-4 = 16
The Sum of Two Numbers is 24 and Their Difference is 2
x + y = 24
The difference between x and y is 2. In other words, x minus y equals 2 and can be written as equation B:x - y = 2
Now solve equation B for x to get the revised equation B: x - y = 2
x = 2 + y
x + y = 24
2 + y + y = 24
2 + 2y = 24
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x: x + y = 24
x + 11 = 24
X = 13
Sum: 13 + 11 = 24
Difference: 13 - 11 = 2
Sum Difference Calculator Do you want the answer to a similar problem? Enter the sum and difference here to find the two numbers:
The Sum of Two Numbers is 24 and Their Difference is 3
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