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Alenkasestr [34]
3 years ago
8

Given a two-digit number, make a three digit number by putting a 6 as the rightmost digit. Then, add 6 to the resulting three di

git number and remove the rightmost digit to obtain another two digit number. If the result was 76, what is the original two digit number?
Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0
By working backwards, 
<span>you get 76 as your answer because you have to remove the rightmost digit, right? so the three-digit number is </span>

<span>76x </span>
<span>(x stands for the rightmost digit, because we don't know what the rightmost digit is) </span>

<span>we are told we have to add six to the three digit number to get 76x, so we have to subtract 6 from 76x: </span>
<span>76x - 6 = ??? </span>

<span>since we assume that the original two-digit number is NOT 76, and any number from 760 to 765 inclusive minus 6 is logically in the 750-range, we can conclude that the original two-digit number is 75. </span>
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