Here's the solution,
The given figure is of a parallelogram,
and we know that opposite sides of a parallelogram are equal, so
=》
=》
=》
and,
=》
=》
=》
hence, the values are :
x = 24
y = 19
Step-by-step explanation:
For y/x to be as high as possible, y must have the highest possible value and x must have the lowest possible value. (12 and 6)
Hence, y/x < 12/6, which is 2.
For y/x to be as low as possible, y must have the lowest possible value and x must have the highest possible value (10 and 7)
Hence, y/x > 10/7.
Combining the 2 inequalities, we have 10/7 < y/x < 2.
Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.
