Answer:
29 and 31
Step-by-step explanation:
Let
x = the first odd number
x + 2 = the second odd number
seven times the smaller number is 17 more than six times the larger
7*x = 17 + 6(x + 2)
7x = 17 + 6x + 12
Collect like terms
7x - 6x = 29
x = 29
x + 2 = 29 + 2
= 31
Check:
7*x = 17 + 6(x + 2)
7*29 = 17 + 6(29 + 2)
203 = 17 + 6(31)
203 = 17 + 186
203 = 203
Therefore, the two consecutive odd numbers are 29 and 31
