Let hundreds digit = x
The tens digit is 5 more than the hundreds digit means:
tens digit = x + 5
The ones digit 4 times the hundred digit means:
ones digit = 4 x
The sum of the digits is 17 means:
hundreds digit + tens digit + ones digit = 17
x + x + 5 + 4 x = 17
6 x + 5 = 17
Subtract 5 to both sides
6 x = 12
x = 12 / 6 = 2
hundreds digit = x = 2
tens digit = x + 5 = 2 + 5 = 7
ones digit = 4 x = 4 ∙ 2 = 8
Your number is:
278
It’s less than 300
The ones digit 4 times the hundred digit
The tens digit is 5 more than the hundreds digit
The sum of the digits is 17
2 answers
The number starts with a 1 or 2, so it has the form
1?4 or 2?8
Since the digits sum to 17, and the maximum digit is 9, 1?4 is out
That just leaves 278
1?4 or 2?8
Since the digits sum to 17, and the maximum digit is 9, 1?4 is out
That just leaves 278