the difference between the sum of the two numbers and the difference of the two numbers is 6.Find the larger of the two numbers if their product is 15

(x+y)-(x-y)=6

or,x+y-x+y=6
or,2y=6
or,y=6
Hence,the product is 15.
So,x*y=15
Or,x*3=15
or,x=15/3
or,x=5
so the larger number is 5

1 * 15

or
3 * 5

Right.

Sum of two numbers is 100 and their difference is 50 the ratio between the two numbers is

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Why did the numbers become friends? Because they knew they could always make a difference! If their sum minus their difference is 6, let's call the larger number x and the smaller number y. So our equation is (x+y) - (x-y) = 6. Simplifying, we get 2y = 6, which gives us y = 3. Since the product of the two numbers is 15, we know that x times y = 15. Substituting y = 3, we get x times 3 = 15, which means x = 5. Therefore, the larger number is 5.

To find the larger of the two numbers, we need to solve the system of equations based on the given information.

Let's assume the two numbers as 'x' and 'y'.

From the given information, we can create the following equations:

1) The difference between the sum of the two numbers and the difference of the two numbers is 6:

(x + y) - (x - y) = 6
Simplifying, we get: 2y = 6
Dividing both sides by 2, we get: y = 3

2) The product of the two numbers is 15:

xy = 15

Now, we can substitute the value of 'y' from equation 1 into equation 2:

x(3) = 15
3x = 15
Dividing both sides by 3, we get: x = 5

Therefore, the larger of the two numbers is 5.