3. The sum of the digits of a two digit number is 7. The number obtain

1.	3. The sum of the digits of a two digit number is 7. The number obtained by interchanging the digitsexceeds the original number by 27. Find the number
Answer» let no be XY x+ y= 7 No on interchanging digit = YX YX = XY + 27 10Y + X = 10 x + y +27 9y -9x = 27 y- x= 3 also x+y = 7 add 2y = 10 y= 5 x= y-3 = 2 so no is 25

3. The sum of the digits of a two digit number is 7. The number obtained by interchanging the digitsexceeds the original number by 27. Find the number

Answer»

let no be XY

x+ y= 7

No on interchanging digit = YX

YX = XY + 27

10Y + X = 10 x + y +27

9y -9x = 27

y- x= 3

also x+y = 7

add

2y = 10

y= 5

x= y-3 = 2

so no is 25