SOLUTION: I have a question. I know the answer is 14, but I don't know how to put in in an equation to show how I came up with the answer. I am a two-digit number. when I am multiplied b

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Question 9413: I have a question. I know the answer is 14, but I don't know how to put in in an equation to show how I came up with the answer.
I am a two-digit number. when I am multiplied by the sum of my digits, the result is 70. What number am I?
Answer by prince_abubu(198) (Show Source):
You can put this solution on YOUR website!
We must agree first that the breakdown of a two-digit number is 10a + b. For example, 83 really is 80 + 3, which is 10*8 + 3.

If you don't know what the two-digit number is, it's always 10a + b. a would be the first digit and b would be the second.

They sayd that when the number is multiplied by the sum of the digits, the result is 70. The "sum of the digits" would be (a + b). The number is (10a + b). They're asking us to multiply them together. In this case, that would be:

<----------- Looks like you'll be solving for two variables here. Doesn't seem right since there are 2 variables and 1 equation. You can't solve that. There would be an infinite number of values for a and b. In this case, you're gonna have to keep on plugging in different values for a and b to make this equation true. And the number 14 fits this description --->