Question

The difference of digits of a two digit number is 4. If the places of the digits is
interchanged then the sum of the new number and the original number is 154, find the
number

Answer 1

Answer:

95

Step-by-step explanation:

let the digit at once place be x and at once place be y

so, x - y = 4

=> x = y+4

Also,

10x + y + 10y + x= 154

11 x + 11 y = 154

11(x+y) = 154

x+ y= 154÷11

x+ y = 14

now, y + 4+ y = 14

2 y = 14-4

y = 10÷2

y = 5

then, x=5+4

x = 9

so the no. is 95