## Bella has several favorite numbers. Read the clues to work out what they are. • Each one is an odd number. • Each one has two

Question

Bella has several favorite numbers. Read the
clues to work out what they are.
• Each one is an odd number.
• Each one has two digits.
• The sum of the digits is 6.
What are Bella’s favorite numbers?​

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3 weeks 2021-09-26T01:20:28+00:00 1 Answer 0

The numbers are 15, 33 and 51 .

Step-by-step explanation:

Bella has several favorite numbers .

Each of the number has only 2 digits , so the numbers can only be from 10 to 99.

Each number are odd number , select the odd numbers from 10 to 99. The number of odd number from 10 to 99 can be known using AP. The numbers will be 11, 13, 15, 17, 19, 21………………………99

a + (n – 1)d = 99

11 + (n – 1)2 = 99

11 + 2n – 2 = 99

2n = 99 – 9

2n = 90

n = 90/2

n = 45

The number of odd number between 10 and 99 (including 99) is 45.

11  13  15  17   19  21  23  25  27  29  31  33  35  37  39  41  43  45  47  49  51  53  55  57  59  61  63  65  67  69  71  73  75  77  79  81  83  85  87  89  91  93  95  97  99.

The sum of these digits is 6. Note the numbers cannot start with 6 upward because the sum of the digits will be more than 6.

The numbers are 15, 33 and 51 .