Sum of the digits of a tua digits is 11
the given number is less than the number
obtained by interchenging the digits by
Find the number
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Answer:
We know that the sum of the two digits is 11.
Therefore x + y = 11.
The number obtained by reversing the digits is 9 less than the original number.
Reversing the digits would get us the number 10y + x
And we know that 10y + x = 10x + y - 9
or 9x - 9y = 9. or x - y = 1.
Add the two equations and we get:
x + y + x - y = 11 + 1 or 2x = 12 or x = 6.
And x - y = 1 and therefore y = 5
Therefore the number is 65.
Step-by-step explanation:
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