CBSE Class 10 Answered
linear equations in two variables
Asked by anmol11_batra | 01 Jul, 2009, 11:58: AM
Expert Answer
let the hundred's and the ten's place be x and y resply.
the units place is 5 as given.
acc to qn,
middle digit y= (x+5)/2
i.e.
2y=x+5..(i)
the number can be written as
100x+10y+5
if 108 is added to the number then
100x+10y+113=100y+10(5)+x
i.e.
99x-90y=-63
i.e.
11x-10y=-7..(ii)
solving, we get,
x=3 and y=4
so the original number becomes
345
when we add 108
we get
453
which has the places interchanged as given in the question.
Answered by | 01 Jul, 2009, 12:40: PM
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