Question

The sum of digital of a two digits number is 8 • if 36 is added to the number ,the digits revers • find the number

Answer 1

EXPLANATION

• GIVEN

Let we can assume that two number is

x and y

sum of two digit number is = 8

x + y = 8 ....(1)

Two digit number = 10x + y

the digit get interchange = 10y + x

36 is added to the number the digit reversed.

10x + y + 36 = 10y + x

9x - 9y = -36

x - y = -4 .....(2)

from equation (1) and (2) we get,

2x = 4

x = 2

put the value of x = 2 in equation (1)

x + y = 8

2 + y = 8

y = 6

Therefore, the number are

Two digit number = 10x + y

10 X 2 + 6 = 26

interchange number = 10y + x

10 X 6 + 2 = 62