The digits of a two-digit number sum to 8. when the digits are reversed, the resulting number is 18 less than the original number. what is the original number? a. 26 b. 35 c. 53 d. 62

Question

Mathematics

Nikolai Rubio

16 February, 11:50

The digits of a two-digit number sum to 8. when the digits are reversed, the resulting number is 18 less than the original number. what is the original number? a. 26 b. 35 c. 53 d. 62

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Answers (1)

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Davian Sexton · Answer 1

X+y=8

10x+y - (10y+x) = 18

10x-x+y-10y=18

9x-9y=18

x-y=2

x+y=8

Adding the two equations gives;

2x=10

x=5

Replacing for x in equation 1;

5+y=8

y=3

The number is 53