If x, y are positive integers and
2 2 x y 255, − =
how many ordered pairs
(x y, x y − + )
are there?
Answers
Answered by
0
Answer:
0000000000000000000000000000000000000000
Answered by
1
Step-by-step explanation:
Given that,
2120=2×2×2×3×3×5×7
2120=2
3
×3
2
×5×7
the various ways to distribute 2
3
to
(x,y) are
(2
3
,1),(2
3
,2),(2
3
,2
2
),(2
3
,2
3
),(1,2
3
),
(2,2
3
),(2
2
,2
3
)
Which count to be 2×3+1=7
Similarly, others factors can be distributed
to x and y.
thus the total numbers of ways is
(2×3+1)(2×2+1)(2×1+1)(2×1+1)=315
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