Question

the sum of the digits of the two digit number is 15 the number obtained by interchanging the digits is 27 more than the given number find the original number

Answer 1

let the number be 10x+y.
ATQ,
x+y=15......(1)
x=15-y

10y+x=27+10x+y
Putting the value of x, we get;
10y+15-y=27+150-10y+y
10y+10y-y-y=27-15
20y-2y=12
18y=12
y=2/3

Putting the value of y in equation(1),we get;
x=43/3
original number is 430/9
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