Question

The sum of digits of two number is 7 if we add 45 to the number the digits ate intetchanged find the number

Answer 1

let number = xy

its place value = 10+y

reverse number = yx

reverse number place value = 10y+x

given , x + y = 7 ---(1)

45 + 10x + y = 10y + x

9y - 9x = 45

y - x = 5 ---(2)

(1)+(2)

=> 2x = 12

=> x = 6 -----(3)

(3) in (1)

=> 6 + y = 7

=> y = 1

Number = xy = 61

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