The sum of the digits of a two digit number is 10. if the digits are reversed, the new number will be 18 more than the original number. find the number

Question

Mathematics

Bronson Sawyer

31 August, 21:37

The sum of the digits of a two digit number is 10. if the digits are reversed, the new number will be 18 more than the original number. find the number

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Answers (1)

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Leslie Baker · Answer 1

t+u = 10

10u+t = 10t+u-54

Rearrange:

t+u=10

9t-9u=54

Simplify:

1st; t+u=10

2nd: t-u=6

Add 1st and 2nd and solve for t, as follows:

2t = 16

t = 8

Substitute in t+u=10 to solve for u:

8+u=10

u = 2

Original Number = 82