Find three consecutive odd integral such that the sum of seven times the smallest and twice the largest is -91
Let Brian's steps have a measure of 1, and Richard's steps have a measure of k. Then after each walks 5 steps away from the other, their distance apart is
... 5 + 5k
We are told that distance is equal to 9 of Richard's steps, so is equal to 9k.
... 5 + 5k = 9k
... 5 = 4k . . . . . . . subtract 5k
... 5/4 = k . . . . . . divide by 4
Richard's steps are 5/4 the size of Brian's steps. The appropriate selection is
... b) 5/4
Answer:
a = 132; b = 12; c = 36
Step-by-step explanation:
a = b + 120
b = b
c = 3b
a + b + c = 180
(substitute these into the above equation)
b + 120 + b + 3b = 180
5b + 120 = 180
-120 -120
5b = 60
/5 /5
b = 12
(substitute b back into the first equations)
a = (12) + 120 = 132
b = (12)
c = 3(12) = 36
(check: 132 + 12 + 36 = 180)
