When you reverse the digits in a certain two digit number you increase its value by 18. what is the number if the sum of its digits is 8?

Question

Mathematics

Jaydon Anthony

15 June, 10:51

When you reverse the digits in a certain two digit number you increase its value by 18. what is the number if the sum of its digits is 8?

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Answers (1)

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Trey Myers · Answer 1

Ba=ab+18

a+b=8, b=8-a

10b+a=10a+b+18

10b-b=10a-a+18

9b=9a+18

9 (8-a) = 9a+18

72-9a=9a+18

9a+9a=72-18

18a=54

a=54:18

a=3

b=8-3

b=5

the number is 35

check 53=35+18

53=53 true