Identify the number that is equal to five times the sum of the digits.
1
Expert's answer
2013-04-17T09:11:00-0400
1) Assuming that our two-digit number is ( x + y*10) , where y -the first digit , x - the second digit. And we know that (x+y)*5 must be equal to x + y*10.
2)So we have equation: (x+y)*5 = x + 10y 5x + 5y = x + 10y 5x = x +10y - 5y 5x = x + 5y 5x - x = 5y 4x = 5y 0.8x = y
3) All digits must be integer , that's why x=5 , because it is the only digit that can make y integer. And we have y= 0.8*5 = 4. Let's check the answer (4+5)*5 = 45 ALL RIGHT.
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