Question

Sum of digits of a two digit number is 11. If the digits are interchanged the number so got
is 27 more than it. Find the numbers?​

Answer 1

Answer:

Let the unit place be x and Tens place be y then the number is 10y+x

Given: x+y=11−−(1)

If digits got interchanged then the number exceed by 27

i.e., 10x+y=10y+x+27

9x−9y=27

x−y=3−−−(2)

Solving (1) and (20

we get x=7 y=4

∴ the number is 47

Answer 2

Answer:

the original number is 47