Question

The sum of both the digits of a two digit number is 11 if the unit digit of the number is 6 then that number is​

Answer 1

Answer:

Given:

Sum of two digit number = 11

Let unit’s digit be ‘x’

and tens digit be ‘y’,

then x+y=11…(i)

and number = x+10y

By reversing the digits,

Unit digit be ‘y’

and tens digit be ‘x’

and number =y+10x+9

Now by equating both numbers,

y+10x+9=x+10y

10x+y–10y–x=−9

9x–9y=−9

x–y=−1…(ii)

Adding (i) and (ii), we get

2x=10

x=10/2  

=5

∴y=1+5=6

By substituting the vales of x and y, we get

Number = x+10y

=5+10×6

=5+60

=65

∴  The number is 65.

please vote

Answer 2

Answer:

56

Step-by-step explanation:

there is given that sum of digits of the number is 11,in units place there is 6 so to come across the sum 11 we will subtract 6 from 11 ,it gives 5 so the no.is 56