Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
3 feet is equal to 1 inch if she measured 3 inches to equal 9 feet
Set up a ratio and solve for the missing value:
![\frac{27}{3} =\frac{x}{5}\\x = \frac{(27)(5)}{3}\\x = 45](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B3%7D%20%3D%5Cfrac%7Bx%7D%7B5%7D%5C%5Cx%20%3D%20%5Cfrac%7B%2827%29%285%29%7D%7B3%7D%5C%5Cx%20%3D%2045)
The couple rested for 45 minutes in 5 hours.