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The product of a two-digit number and 5 is equal to the product of the same two-digit number with its digits reversed and 6. What is the sum of the digits of the number?

 Sep 30, 2021
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Number is   xy

 

(10x + y) * 5   = (10y+x) 6

50x+5y = 60y+ 6x

44x = 55y   

x = 55/44 y

x = 5/4 y            

x/y = 5/4               x = 5   y = 4               5+4 = 9

 Oct 1, 2021

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