Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the old

Question

3 years ago

11

est is five less than five times the middle sister’s age.

1 answer:

kenny6666 [7] · Answer 1 · 2022-11-21T09:04:13+03:00

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