Answer:
7 : 5
Step-by-step explanation:
let the age of the younger be x , then the older is x + 18, thus
x + x + 18 = 108, that is
2x + 18 = 108 ( subtract 18 from both sides )
2x = 90 ( divide both sides by 2 )
x = 45
Thus younger is 45 and older is 45 + 18 = 63
ratio older : younger = 63 : 45 = 7 : 5
Given width is 24 less than length.
W=L-24
Perimeter = 2(W+L)=2(L-24+L)=4L-48
But we're also given perimeter = 172'
Therefore 4L-48=172
solve for L
4L=172+48=220
L=55'
W=55-24 = 31'
Check: Perimeter = 2(W+L)=2(31+55)=2*86=172' good!
Answer: The dimensions of the garden are 31' * 55'
5n-2=n+18
Move n to the other side
Sign changes from +n to -n
5n-n-2= n-n+18
5n-n-2= 18
4n-2= 18
Move -2 to the other side
Sign changes from -2 to +2
4n-2+2= 18+2
4n= 18+2
4n= 20
Divide by 4 for both sides
4n/4= 20/4
Answer: n=5