Question

The difference of the digits oof a 2-digit number is 3. If the digits are interchanged and the new number is added to the original number, the result is 77. Find the original number

Answer 1

lef the no. is 10x + y

x - y = 3 eq1

10y + x + 10x +y = 77

11x + 11y = 77

x + y = 7 eq2

Now add eq. 1 and eq2

2x = 10

x = 5

put y in eq1

x - y = 3

5 - y = 3

y = 2

No is 10x + y

10×5 + 2 = 52


Thanks