SOLUTION: Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger gives 144.Find the two numbers

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Question 1164580: Two consecutive odd numbers are such that seven times the smaller, subtracted from nine times the bigger gives 144.Find the two numbers
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x and x+2 are the numbers
9(x+2)-7x=144
2x+18=144
2x=126
x=63
x+2=65
those are the numbers, 63 and 65
585-441=144

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I have a habit of using x-1 and x+1 (instead of x and x+2) for solving problems involving consecutive odd numbers; it often makes the algebra easier. So

9%28x%2B1%29-7%28x-1%29+=+144
9x%2B9-7x%2B7+=+144
2x%2B16+=+144
x%2B8+=+72
x+=+64

ANSWER: The two numbers are 63 and 65.

CHECK:
9(65)-7(63) = 585-441 = 144

NOTE: Using x-1 and x+1 for the two numbers in this problem probably made the algebra harder.... lol