Martin is 6 years younger than his sister. the sum of their ages is no more than 22 years. use x represents martin's sister's age.

Martins sisters age is 14 I got this My work (could be wrong)

Its pretty simple if they said Their sum of their ages is 22 all you have to do is 22-6= 14.  

Hope this helps If you have any questions ask me in the comments :D

Martin's sister's age (x) = Martin's age (y)+6

Step-by-step explanation:

Solving it a with little more algebra

Martin: y

Martin's sister: x

x+y ≤ 22

y=x-6

x+x-6 ≤ 22

2x-6=22 or 2x -6 <22

Let's start with the highest sum: 22

2x-6=22

2x-6+6=22+6

2x=28

x=14

If x=14 (Martin's sister's age) then Martin's age (y) is 8 years old

But also, other ages satisfy this condition (no more than 22)  x+y ≤ 22

x=13, y= 7 | x+y ≤ 22

x= 12 y=6 | x+y ≤ 22 (...)

Martin's sister's age (x) = Martin's age (y)+6 years

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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