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Question

Two numbers are such that their difference is 5 and their product is 100 times their difference, the numbers are____.

A
(12,7)
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B
(11,6)
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C
(13,18)
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D
(20,25)
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Solution

The correct option is D (20,25)
Letthenumbersbex.y
Accordingtoquestion
xy=5.............(i)
100(xy)=xy..........(ii)
100(5+yy)=(5+y)yfrom(i)
500=5y+y2
y2+5y500=0
(y+25)(y20)=0
y=20,25
pluggingin(i)
x20=5
x=25
Hencenumbersare20,25


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