Question

the sum of the digits of a 2 digit number is 11 when 27 is added to the number we get number with digit interchanged find the number

Answer 1

let x be the tens digit and y be units digit of two digit no
by given,
x+y=11
x=11-y .............(1)
by another condition,
10x+y+27=10y+x
9x+27=9y
by substituting from (1),.
9(11-y)+27=9y
99-9y+27=9y
y=126/18
question is wrong.we dont get whole number such no do not exists

Answer 2

Answer:

Step-by-step explanation:

Let tens digit number be x and ones digit number be y

So original number is 10x+y

According to question

x+y=11.

x=11-y. ------(1)

10x+y+27=10y+x. --------(2)

Using (1) in (2)

10(11-y)+y+27=10y+11-y

110-10y+y+27=9y-11

137-9y=9y-11

18y=126

y=7

x=11-7=4

So the number is 47