A two digit number is such that the sum of its digits is 4. if 18 are added to the number its digits reserved. find the number
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let the two digit number be 10x+y
then
x+y=4. (1)
10x+y+18=10y+x
or. 9x-9y=-18
or. x-y=-2. (2)
adding (1) and (2)
2x=2
x=1
and y =3
hence the required number is 13
then
x+y=4. (1)
10x+y+18=10y+x
or. 9x-9y=-18
or. x-y=-2. (2)
adding (1) and (2)
2x=2
x=1
and y =3
hence the required number is 13
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