Find three consecutive odd numbers when three times of their sum is 5 more than 8 times the middle number.
Answers
Answered by
1
Answer:
3, 5 and 7.
Step-by-step explanation:
Let the required numbers be x, x + 2 and x + 4 respectively.
Then, 3(x + x + 2 + x + 4) = 5 + 8(x+2)
⇒3(3x + 6) = 5 + 8x + 16
⇒9x + 18 = 21 + 8x
⇒9x - 8x = 21 - 18
⇒x = 3
So, the numbers are 3, 5 and 7.
-
Similar questions