Al is seven years older than Barb and Cindy is three times as old as Barb. The sum of their ages is 62. How old is Al?

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years.

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years. Then,

Let, the age of AI be 'x' years, the age of Barb be 'y' years and the age of Cindy be 'z' years. Then,According to question,

x= y + 7 (i)

z= 3y(ii)

ii)

Now,

x + y + z= 62 ( From question)

Replacing the value of x ans z from equation (i) and (ii)

or, y + 7 + y + 3y = 62

or, 5y + 7 = 62

or, 5y = 55

. ° . y = 11 years

Again,

Again, In equation(i)

x = y + 7

or, x = 11 + 7

. ° . x= 18 years.

Hence, the age of AI is 18 years.

s

step-by-step explanation:

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'.