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Hi Jhoanna, I can see two ways to approach this problem. I suggest you try both to see if the answers you get agree. The most direct method is to first write down all two digit numbers which have 10 as the sum of their digits. There are not very any
Now check each one to see if the number is 16 times its units digit. The second method is to use algebra. If the number has units digit $b$ and tens digit $a$ then the number is $10 a + b.$ Now write two equations
Solve the equations for $a$ and $b.$ I hope this helps, | ||||||||||||
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Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |