# SOLUTION: a number is 8 times the sum of its digits. the tens digits is 5 greater than the units digit. find the number. PLEASE HELP!!! the answer is 72, but i dont know how to get there.

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 Question 136036This question is from textbook algebra: structure and method: book1 : a number is 8 times the sum of its digits. the tens digits is 5 greater than the units digit. find the number. PLEASE HELP!!! the answer is 72, but i dont know how to get there.This question is from textbook algebra: structure and method: book1 Answer by ankor@dixie-net.com(15667)   (Show Source): You can put this solution on YOUR website!Let x = 10's digit Let y = units digit then 10x + y = "a number" : Write an equation for each statement and simplify: : "a number is 8 times the sum of its digits." 10x + y = 8(x+y) 10x + y = 8x + 8y 10x - 8x = 8y - y 2x = 7y : :the tens digits is 5 greater than the units digit." x = y + 5 : find the number. : Substitute (y+5) for x in the equation; 2x = 7y; solve for y 2(y+5) = 7y 2y + 10 = 7y 10 = 7y - 2y 10 = 5y y = y = 2 : We know x = y + 5, therefore: x = 2 + 5 x = 7 : a number = 72 : Did this show you how to get there? :