Question

The sum of the digits of a two digit number is 10 when the dishes are reversed the number increases by 18 find the original number

Answer 1

Explanation:

Hello, we can write this number ab where a and b are integer betwen 0 and 9.

For instance, 54, a = 5, b = 4

And then, we can say ab = 10 * a + b.

For instance, 54 = 50 + 4 = 5*10 + 4.

The sum of the digits of a two digit number is 10.

a + b = 10

When the dishes are reversed the number increases by 18.

10b + a = 18 + 10a + b

9b = 18 + 9a

b = 2 + a

We replace in the first equation to get.

a + 2 + a = 10

2a = 10 -2 = 8

a = 4

and then, b = 6

So, the number is 46.

Thank you