To numbers between 40 and 50 have a grestest common factor of 7. The digits of one number have a sum of 6. The digits of the other number have a sum of 13. What are the two numbers?
7 * 6 = 42
7 * 7 = 49
What are the only two numbers between 40 and 50 divide by 7?
Wouldn't that be 42 and 49 ?
What is the sum of the digits of those two numbers?
42 49
Right.
yes itll be 42 and 49 and the sum is 91
what is 13?
To find the two numbers, we need to look for numbers between 40 and 50 that have a greatest common factor of 7.
Let's start by finding all the numbers between 40 and 50.
The numbers between 40 and 50 are: 41, 42, 43, 44, 45, 46, 47, 48, 49.
Next, we need to find the numbers that have a greatest common factor of 7.
To find the greatest common factor, we need to find the common factors of each number and check if 7 is one of the factors.
Let's calculate the common factors of each number:
For 41, the factors are 1 and 41. Since 7 is not a factor of 41, we can skip this number.
For 42, the factors are 1, 2, 3, 6, 7, 14, 21, and 42. Since 7 is a factor of 42, we can consider this number.
For 43, the factors are 1 and 43. Since 7 is not a factor of 43, we can skip this number.
For 44, the factors are 1, 2, 4, 11, 22, and 44. Since 7 is not a factor of 44, we can skip this number.
For 45, the factors are 1, 3, 5, 9, 15, and 45. Since 7 is not a factor of 45, we can skip this number.
For 46, the factors are 1, 2, 23, and 46. Since 7 is not a factor of 46, we can skip this number.
For 47, the factors are 1 and 47. Since 7 is not a factor of 47, we can skip this number.
For 48, the factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Since 7 is not a factor of 48, we can skip this number.
For 49, the factors are 1, 7, and 49. Since 7 is a factor of 49, we can consider this number.
Now, we have two numbers that have a greatest common factor of 7: 42 and 49.
Next, we need to find the numbers whose digits have a sum of 6 and 13.
For the number 42, the digits are 4 and 2. Their sum is 4 + 2 = 6. Since the sum of digits is 6, 42 could be one of the numbers.
For the number 49, the digits are 4 and 9. Their sum is 4 + 9 = 13. Since the sum of digits is 13, 49 could be the other number.
Therefore, the two numbers are 42 and 49.