Try this beautiful problem from PRMO, 2019, Problem 18 based on Ordered Pairs.
How many ordered pairs of positive integers with
and
,
satisfy
?
Number theory
Orderd Pair
LCM
Answer:
PRMO-2019, Problem 18
Pre College Mathematics
At first we assume that
where &
are co-prime
Therefore ,
Can you now finish the problem ..........
Therefore we can say that
when (for
),No solution
when
to
,7 solution
when,
to
,13 solution
Can you finish the problem........
Therefore Total solutions =
Try this beautiful problem from PRMO, 2019, Problem 18 based on Ordered Pairs.
How many ordered pairs of positive integers with
and
,
satisfy
?
Number theory
Orderd Pair
LCM
Answer:
PRMO-2019, Problem 18
Pre College Mathematics
At first we assume that
where &
are co-prime
Therefore ,
Can you now finish the problem ..........
Therefore we can say that
when (for
),No solution
when
to
,7 solution
when,
to
,13 solution
Can you finish the problem........
Therefore Total solutions =
Why can't you consider p as 15 and q as 33
Sorry I got it.. Never mind