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What are two numbers whose greatest common factor is 7 and whose sum is 105 such that the larger is twice the smaller and the smaller has only two prime factors?

Since one number is twice the other, the smaller number must be the greatest common factor. Since the greatest common factor is 7, that would make the other number 14. But, 7 is a prime number and has only one prime factor. However, the larger number, 14, has two prime factors. Also, the sum of the two numbers is 21, not 105. So, the information in the problem does not have a solution. Let us ignore the greatest common factor information. Let the smaller number be x. That means the larger number is 2x. x + 2x = 105 => 3x = 105 => x = 35. The two numbers are 35 and 70. The greatest common factor is 35. The smaller number, 35, has only two prime factors.


Why does 16 have an odd number of factors?

It's a square number. Square numbers have a factor pair that is the same number twice. When listed, that number occurs once.


Why do all non square numbers have even factors?

The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.


Is 50 percent larger twice as big?

half as big example: if $10 then 50% larger = $15 (twice as big = $20)


The sum of two integers is 51. The larger integer is 3 more than twice the smaller integer. Find the two integers?

no one wants to know the answer. its freaking math

Related Questions

The sum of two numbers is 18 The larger number is twice the smaller number What are they?

Smaller number = x Larger number = 2x x+2x=18. 3x=18 x=6 The numbers are 6 and 12.


What sum of two numbers is 70 the larger number is 4 more twice the smaller number?

The numbers are: 48+22 = 70


The sum of two numbers is 70. The larger number is 4 more than twice the smaller number. What is the smaller number?

Let x = the smaller number2x + 4 = the larger numberx + 2x + 4 = 703x + 4 = 703x = 66x = 22 = the smaller number


The sum of two odd numbers is 46 The larger number is more than twice the smaller number Find the numbers?

If the larger number can be anything more than twice the smaller number, then the two numbers can be:1 + 45 = 463 + 43 = 465 + 41 = 467 + 39 = 469 + 37 = 4611 + 35 = 4613 + 33 = 4615 + 31 = 46


The sum of two odd numbers is 46 the larger number is one more than twice the smaller number what are the numbers?

The two numbers are 15 and 31. 15 + 31 = 46.


2 The sum of two numbers is 56 The larger exceeds twice the smaller by 2. find the number?

18 and 38


2 The sum of two numbers is 56 The larger exceeds twice the smaller by 2 find the number?

18 and 38


One number is 13 more than another and the sum of the smaller number and twice the larger number is 50 What are the numbers?

The smaller number is 8, and the larger one is 21. 8 + 13 = 21 8 + 21(2) = 50


The sum of two numbers is 70The larger number is 4 more than twice the smaller number What is the smaller number?

The larger number is 48, the smaller number is 22. 48 is twice the amount of 22 plus 4. If the smaller number is "x" then the larger number is 2x+4. We know that x+2x+4 =70 which ius the same as saying 3x+4 = 70 or 3x = 70-4 = 66 so x, the smaller number is 66/3 =22


There are two consecutive odd numbers such that five times the smaller plus twice the greater is 25 What is the smaller number?

There are two consecutive odd numbers such that five times the smaller plus twice the greater is 25. What is the smaller number?


What are the two number have a sum of 14 and the difference of 4?

The sum of the sum and difference gives twice the larger number 14 + 4 = 18 → the larger number is 18 ÷ 2 = 9 The difference of the sum and the difference gives twice the smaller number 14 - 4 = 10 → the smaller number is 10 ÷ 2 = 5 → The two numbers are 9 and 5.


The larger of two numbers is 1 more than twice the smaller The sum of the numbers is 20 less than three times the larger Find the numbers?

13 and 6