Math, asked by Namya2751, 1 year ago

The sum of a two digit number and the number obtained by reversing the order of its digits is 99 .if the digits of the number differ by 3.then find the number

Answers

Answered by satyasaigopal2002
0
THE NUMBERS ARE 63 AND 36.
Answered by su123198
3
Heya...
Here's your answer
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Let the first no. be x + 10y
( we multiply by 10 becoz the no. Is in tens place.)
Now the second no. Be 10x + y ( reversing the digits)
Now......
x + 10y + ( 10x + y) = 99
11x + 11y = 99
11 (x+y) = 99
x + y = 9 ...... (i)
Now we also know that
x - y = 3 .... (ii)
.....
solving eq. (i)
x = 9 - y
Putting this in eq. (ii)
Then ,
9 - y -y = 3
9 - 2y = 3
2y = 6
y =3
Then..,
x - y = 3
x - 3 = 3
x = 6
The no. Is 36 or 63
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Hope it helps....
Happy to help you


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