Question

a number consist of two digits whose sum is 8.If 18 is added to the number its digits are interchange find the number​

Answer 1

Answer:

Step-by-step explanation:

let the digits be x(tens place) and y(ones place).

then, x+y=8...(i)

AND

(x*10)+y+18=(y*10)+x

10x+y+18=10y+x

10x-x+y-10y=-18

9x-9y--18

9(x-y)=-18

x-y=-2...(ii)

ading i & ii,

2x=6

x=3

putting value of x in eqn i,

x+y=8

3+y=8

y=8-3

y=5

Thus the number is 35.