the sum of digit of a two digit number is 15 the number obtained by interchanging the digit exceed the given number by 9 find the number
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Let the two digits be 10x + y
Equation
10x + y = 10y + x + 9
9x - 9y = 9
Each getting 1
So, x - y = 1 ------(1)
x + y = 15 -------(2)
Some of both equations
2x = 16
x = 8
Now, keeping value of x in equation 2
8 + y = 15
y = 7
Original number = 10x + y = 10(8) + 7 or 87
Reversed number = 78
Hope it helps
Let the two digits be 10x + y
Equation
10x + y = 10y + x + 9
9x - 9y = 9
Each getting 1
So, x - y = 1 ------(1)
x + y = 15 -------(2)
Some of both equations
2x = 16
x = 8
Now, keeping value of x in equation 2
8 + y = 15
y = 7
Original number = 10x + y = 10(8) + 7 or 87
Reversed number = 78
Hope it helps
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