the ones digit of a 2 digit no is twice the tens digit . when a number formed by reversing the digit is added to the original number,the sum is 99 . Find the original number
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5
Answer:
Let the two digit number is xy
y is digit at unit's place
x is digit at ten's place
⇒ Number can be written as = 10x+y
According to the conditions : y=2x ___ (1)
and
(10x+y)+(10y+x)=99
⇒11x+11y=99
⇒x+y=9 (dividing by 11)
Now x+2x=9 (from (1))
⇒3x=9
⇒x=9/3=3
y=2x=6
⇒ Number is 36
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Answered by
5
let, the tens digit =x so, ones digit =2x
... number= 10x+2x=12x reverse number= 10x2x+X3D20×+x=21X
it is given that, 12x+21x=99
or 33x=99
so, x=3
original number=10x+2x
=30+6
=36 answer.
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