Question

3. The sum of a number of 2 digits and of the number formed by reversing the digits is 110, and the difference of the digits is 6. Find the number.( chapter playing with number )​

Answer 1

9514 1404 393

Answer:

82

Explanation:

If the digits are X and Y, with X being the tens digit, we have ...

(10X +Y) +(10Y +X) = 110

X -Y = 6

Dividing the first equation by 11 gives

X +Y = 10

Adding that to the second equation, we have ...

(X -Y) +(X +Y) = (6) +(10)

2X = 16

X = 8

Y = X -6 = 2

The number is 82.