Agrandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how old are her grandson and granddaughter?

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

First, we would create an equation based on what the question says, which would look as:

x + x + 2 = 12

2x + 2 = 12

Subtract two from both sides.

2x = 10

The grand daughter is 5 years old and since the grandson is two years older he is 7.

Thus,

The age of the granddaughter is 5

The age of the grandson is 7

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.