the digits of a two digit number differ by 3 .if digits are interchanged and the resulting number is added to the original number we get 121 find the original number
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Firstly,
Let the number be =x(ones digit number)
2nd number is =x-3 (tens digit number)
ORIGINAL NUMBER
________________
10(x-3)+(1×x)
o. no.=10x-30+x i.e. 11x+30
NEW NUMBER
____________
ones no. = x-3
tens no. =x
N. No.=(10×x)+(1×x-3)
=11x-3
According To The Question ,
ON +NN=121
(11x+30)+(11x-3)=121
..................................................
NOW,
you can calculate
Let the number be =x(ones digit number)
2nd number is =x-3 (tens digit number)
ORIGINAL NUMBER
________________
10(x-3)+(1×x)
o. no.=10x-30+x i.e. 11x+30
NEW NUMBER
____________
ones no. = x-3
tens no. =x
N. No.=(10×x)+(1×x-3)
=11x-3
According To The Question ,
ON +NN=121
(11x+30)+(11x-3)=121
..................................................
NOW,
you can calculate
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