SOLUTION: A two digit counting number has a value of 8 times the sum of its digits. If 6 times the units digit is 5 more than the tens digits, what is the number?

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 Question 147405: A two digit counting number has a value of 8 times the sum of its digits. If 6 times the units digit is 5 more than the tens digits, what is the number?Answer by nerdybill(6963)   (Show Source): You can put this solution on YOUR website!A two digit counting number has a value of 8 times the sum of its digits. If 6 times the units digit is 5 more than the tens digits, what is the number? . Let x = "units" digit and y = "tens" digit . Since we have two unknowns, we'll need two equations. . From: "A two digit counting number has a value of 8 times the sum of its digits." we get equation 1: 10y + x = 8(x+y) . From: "6 times the units digit is 5 more than the tens digits" we get equation 2: 6x - 5 = y . From equation 2, we see that y is equal to (6x+5) -- substitute this into equation 1 and solve for x: 10y + x = 8(x+y) 10(6x-5) + x = 8(x+(6x-5)) (60x-50) + x = 8(7x-5) 61x-50 = 56x-40 5x = 10 x = 2 . To find y, substitute the above into equation 2: 6x - 5 = y 6(2) - 5 = y 12 - 5 = y 7 = y . Your 2 digit number is: 72