Sum of the two digit number is 9.When we inter change the digit ,it is found that the resulting number is greater than the original number by 27 .what is the two digit number .using one variable
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Answer: 36
Step-by-step explanation:
Let the tens digit be x and unit digit be y
Number formed = 10x + y
Reverse number = 10y + x
x + y = 9 (Given)…………………………eq1
10y + x = 10x + y + 27…………………….eq2
9y - 9x = 27
y - x = 3……………………………………..eq3
Solving eq1 and eq3 ,we get
x = 3 and y = 6
Original Number = 36 Reversed Number = 63
adi7752:
man look at the question Care fully it says that the no is 27 more not there sum.
according to your eq.3( 6+3=3+6+27)
which means you are saying that 9=36 which is not.
Excuse me, but eq3 says y-x=3 which means 6-3=3. And eq2 is also correct as rev.no. = ori.no. + 27. If you substitute the values of x and y, you will surely get LHS=RHS!
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