Let x = tens digit and y = ones digit
Then, y = 2x (so y is larger than x) and y - x = 3
So, x + 3 = 2x
x = 3 and y = 6
The number is 36
Let x = tens digit and y = ones digit
Then, y = 2x (so y is larger than x) and y - x = 3
So, x + 3 = 2x
x = 3 and y = 6
The number is 36
Richard L. answered • 05/15/21
Seasoned Mathematics Tutor, Retired from Competitive Mathematics
Starting off, the question asks us to find a two-digit number, tu, satisfying two conditions.
If we list out all possibilities for #2, we get the list {12, 24, 36, 48}. No other two-digit numbers satisfy this condition (since 00 isn't technically a two-digit number). Using this list, we can then find the differences and see that the only number satisfying our conditions is 36.
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