1.

The Number Obtained By Interchanging The Two Digits Of A Two-digit Number Is Less Than The Original Number By 45. If The Sum Of The Two Digits Of The Number So Obtained Is 13, Then What Is The Original Number ?

Answer»

Let the number be in the form of 10a + B

Number formed by interchanging a and b = 10b + a.

a + b = 13 --- (1)

10b + a = 10a + b - 45

45 = 9a - 9B => a - b = 5 --- (2)

Adding (1) and (2), we get

2a = 18 => a = 9 and b = 4

The number is: 94.

Let the number be in the form of 10a + b

Number formed by interchanging a and b = 10b + a.

a + b = 13 --- (1)

10b + a = 10a + b - 45

45 = 9a - 9b => a - b = 5 --- (2)

Adding (1) and (2), we get

2a = 18 => a = 9 and b = 4

The number is: 94.



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