Question
The three digits of a three-digit number are in the
ratio 3:2:5. If 111 is added to this number, what is the sum of the digits of the resulting number?Solution
Let the digits of the 3-digit number are a, b and c respectively. So,a: b: c = 3: 2: 5So, 3-digit number can be: 235, 253, 325, 352, 523, 532Now, when 111 will be added to the number, then each of its digit will be increased by 1. So, new digits will be (2 + 1 = 3), (3 + 1 = 4) and (5 + 1 = 6)Therefore, sum of digits of the resultant number = 3 + 4 + 6 = 13
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