Question

if the hcf of two numbers 17 and their sum is 85. how many such pairs can be formed

Answer 1

Answer:

PAIRS ARE:

17 & 68

34 & 51

Answer 2

Answer:

First the question makes sense since 17 divides 187, 187=11*17.

If we factor out the 17, this is equivalent to asking the number of pairs of coprime numbers that add up to 11. The pairs of natural numbers that satisfy this condition are {1,10},{2,9},{3,8},{4,7} and {5,6}.

So there are five pairs, {17,170},{34,153},{51,136},{68,119},{85,102}.