the sum of the two digits of 2 digit number is 10 .If 36 is added to the number, the digits are reversed. What is the number ?
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Let the number be 10x + y
x + y = 10
10x + y +36 = 10y + x
9y - 9x = 36
multiply x + y = 10 by 9
9x + 9y = 90
Add both the equation
18y = 126
y = 126/18
y = 7
x + 7 = 10
x = 3
The number is 37
x + y = 10
10x + y +36 = 10y + x
9y - 9x = 36
multiply x + y = 10 by 9
9x + 9y = 90
Add both the equation
18y = 126
y = 126/18
y = 7
x + 7 = 10
x = 3
The number is 37
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