the sum of the digits of two digit number is 10. when 18 is added to the number is digit reversed find and number

The number is 46

Step-by-step explanation:

Equations

Suppose:

a = One digit of the number

b = Tens digit of the number

The sum of the digits is 10:

a + b = 10

The number expressed as two-digits quantity is ab, and its value is

10a+b

When we add 18 to that number, we have:

10a+b+18

And that is represented as the number reversed:

10a+b+18=10b+a

Simplifying:

9a+18=9b

Dividing by 9:

a + 2 = b

Substituting in the first equation:

a + a + 2 = 10

2a = 8

a = 4

b = a + 2 = 6

Thus the number is 46

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