Digit sum

The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?

Correct answer:

c1 =  45
c2 =  54

Step-by-step explanation:

c=10x+y x+y = 9 c   (10y+x) = 2430 c: 18, 27, 36, 45  v1=18 81=1458 v2=27 72=1944 v3=36 63=2268 v4=45 54=2430 c1=45

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