their product is diminished by 4. If the first is diminished by 1 and the second is increased by 2, their product is increased by 16. Find the numbers.
2007-07-22 11:56:53 · 5 answers · asked by CPUcate 6 in Science & Mathematics ➔ Mathematics
Let the numbers be x and y
(x+1)(y-1) = xy - 4
(x-1)(y+2) = xy +16
Expand the expressions
xy - x + y - 1 = xy - 4
-x + y = -3 ------- (1)
xy + 2x - y - 2 = xy + 16
2x - y = 18 ------- (2)
(1) + (2)
x = 15
y = 12
Check:
xy = 15*12 = 180
16*11 = 176 = 180 - 4
14 * 14 = 196 = 180 + 16
The numbers are 15 and 12
2007-07-22 12:04:44 · answer #1 · answered by gudspeling 7 · 0⤊ 0⤋
4 and 3
2007-07-22 19:00:38 · answer #2 · answered by the red soxer 2 · 0⤊ 2⤋
Solve
(x + 1) * (y - 1) = x * y - 4
(x - 1) * (y + 2) = x * y + 16
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2007-07-22 19:03:31 · answer #3 · answered by oregfiu 7 · 0⤊ 0⤋
(x+1)(y-1)=xy-4
(x-1)(y+2)=xy+16
xy - x + y - 1 = xy-4 --> -x + y = -3
xy +2x - y -2 = xy + 16 --> 2x-y = 18
Solving the two equations on the right, you get x=15 and y=12
2007-07-22 19:06:35 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Let the nos are x& y
so( x+1)( y-1)=xy-4---------(1)
(x-1)(y+2)=xy+16------------(2)
From (1) we have
xy+y-x-1=xy-4
or y-x=-3
or x-y=3-------------------------(3)
From (2),we have
xy-y+2x-2=xy+16
or 2x-y=18----------------------(4)
Subtracting (3) from (4),we have
x=15,putting this value in (3),we have
15-y=3
-y=-12
or y=12
so the nos are 15 &12 Ans
2007-07-22 19:13:09 · answer #5 · answered by MAHAANIM07 4 · 0⤊ 1⤋