The sum of a particular two digit number is 8. If this number's digits are reversed, the number is increased by 18. What is this number?
The sum of digits of a particular two digit number is 8. If this number's digits are reversed, the number is increased by 18. What is this number?
The sum of digits of a particular two digit number is 8. If this number's digits are reversed, the number is increased by 18. What is this number?
2 Answers
Explanation:
A two digit no. has one digit in a
place. Let these resp. digits be
Hence, the original no. is given by,
Note that, we readily know that,
Reversing the digits of the original no., we get the new no.
the the original one, we have,
Subst.ing
Thus, the desired no. is
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The original no.
Explanation:
As a Second Method, I would like to suggest the following
Solution with the help of Arithmetic.
Let us, observe that the Difference between a two digit no., and,
the one obtained by reversing its digits is
Difference btwn. their digits.
For Example, consider a two digit no.
In our Problem, the difference of the no. and its "reverse" is
so, the Difference of the Digits must be
Also, Sum of the Digits is given to be
From
must be
original no.
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