The sum of the digits of a two digit number is 7 . If the digits are reversed, the number is reduced by 27 .Find the number.
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Step-by-step explanation:
- The sum of digits of a two digit number is 7
- If the digits are reversed, the number is reduced by 27.
- The original number.
Let the tens digit of the number be x
And units digit be y
Then:-
The original number = 10x + y
The number obtained by reversing the digits = 10y + x
Case 1:-
The sum of digits of the number is 7
Case 2:-
If the digits are reversed, the number is reduced by 27.
Dividing the whole equation by 9
Adding equations (i) and (ii)
Substituting x = 5 in equation (i)
The original number = 10x + y
= 10(5) + 2
= 50 + 2
= 52
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