Question

1) A two digit number is 8 times the sum of its
digits. The number obtained by interchanging
the digits is 45 less than the original number,
Find the two digit number.​

Answer 1

Answer:

Let the given number by 10x+y

According to given data

10x+y=10y+x+18

9y−9x=18

y−x=2 ………..(1)

and also 10x+y=8 ………(2)

Solving equation (1) & (2) we get

10x+y=8

x−y=−2

__________________

2x=6

[x=3] and [y=5]

Hence the given number is 35.

Explanation: