Question 1174984

Find a three-digit number such that the hundreds’ digit minus the tens’ digit is 1, the tens’ digit
minus the units’ digit is 1, and the sum of the digits is 15.
<pre>Let tens digit be T
Then hundreds digit = 1 + T, and units digit = T - 1
Since they SUM to 15, we get: T + 1 + T + T - 1 = 15
3T = 15
Tens digit, or {{{highlight_green(matrix(1,5, T, "=", 15/3, "=", 5))}}}
Hundreds digit is then: 1 + 5 = 6
Units digit is then: 5 - 1 = 4
{{{highlight_green(matrix(1,3, Three-digit, "number:", 654))}}}