SOLUTION: A 2-digit number is four times as large as the sum of it’s digits. Show that there are four possible numbers with this property. Hint: The number with ‘ten’ digit x and ‘units’ di

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Question 1011581: A 2-digit number is four times as large as the sum of it’s digits. Show that there are four possible numbers with this property.
Hint: The number with ‘ten’ digit x and ‘units’ digit y is 10x + y
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

From your question we can obtain the relation
10x%2By=4%28x%2By%29
10x%2By=4x%2B4y
6x-3y=0
x=%281%2F2%29y
x and y must be single digit numbers.Further y must be even so that x can be a whole number.
Hence y=2,4,6,or 8 => x=1,2,3,or 4
The numbers are 12,24,36,48.