THE PRODUCT OF THE DIGIT OF A TWO DIGIT NUMBER IS 18. IF 27 IS SUBTRACTED FROM THIS NUMBER , THE NEW NUMBER IS OBTAINED BY INTERCHANGING THE DIGITS OF AN ORIGINAL NUMBER. FIND THE ORIGINAL NUMBER
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Hey!!!.....Here is ur answer
let the original number is 10x+y
According to question
xy=18 ----eq 1
10x+y-27=10y+x
9x-9y=27
x-y=3----eq 2
18/y -y=3
18-y^2/y=3
-y^2+18=3y
y^2+3y-18=0
y^2+6y-3y-18=0
y (y+6)-3 (y+6)=0
(y+6)(y-3)=0
y=3
from eq 2
x-3=3
x=6
10×6+3=63
so the original number is 63
Hope it will help you
let the original number is 10x+y
According to question
xy=18 ----eq 1
10x+y-27=10y+x
9x-9y=27
x-y=3----eq 2
18/y -y=3
18-y^2/y=3
-y^2+18=3y
y^2+3y-18=0
y^2+6y-3y-18=0
y (y+6)-3 (y+6)=0
(y+6)(y-3)=0
y=3
from eq 2
x-3=3
x=6
10×6+3=63
so the original number is 63
Hope it will help you
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