SOLUTION: the gcd of two number is 17 and lcm is 765.how many pairs of value can the number assume

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Question 972307: the gcd of two number is 17 and lcm is 765.how many pairs of value can the number assume
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the gcd of two number is 17 and lcm is 765.
how many pairs of values can the number
:
let 17x = one of a pair of numbers
let 17y = the other number
:
17x * 17y = 765
289xy = 765
simplify, divide by 17
xy = 45
Factor pairs of 45: 5*9; 3*15
therefore the numbers
5*17 = 85
9*17 = 153
and
3*17 = 51
15*17 = 255
:
I can find two pairs: 85 & 153; 51 & 255