in a two digit number the sum of the digits is 6. The difference between the number of its digits are reversed and original number is 18. Find the numbers
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Let tenth digit of an original number be x & unith digit be y so
original number would be
10x+y
when digits are reversed new number would be x+10y
10x+y = x+10y+18
9x -9y =18
x-y=2.....eqn 1
sum of digits is 6 so
x+y=6..... eqn 2
adding eqn 1 & 2, we get 2x = 8
x=4
y=2
Original number =42
original number would be
10x+y
when digits are reversed new number would be x+10y
10x+y = x+10y+18
9x -9y =18
x-y=2.....eqn 1
sum of digits is 6 so
x+y=6..... eqn 2
adding eqn 1 & 2, we get 2x = 8
x=4
y=2
Original number =42
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