the sum of two decimal numbers is 5.3. their difference is 1.7 and there product is 6.3 what are the two numbers?
1.8 and 3.5
The answer is 1.8, and 3.5
To find the two decimal numbers, let's assign variables to them. Let's say the first number is 'x' and the second number is 'y'.
Given the information, we can set up three equations:
1) The sum of the two numbers is 5.3: x + y = 5.3
2) The difference between the two numbers is 1.7: x - y = 1.7
3) The product of the two numbers is 6.3: x * y = 6.3
To solve this system of equations, we can use a method called substitution.
From equation 2, we can express x in terms of y:
x = 1.7 + y
Substituting this value for x in equations 1 and 3, we get:
(1.7 + y) + y = 5.3
(1.7 + y) * y = 6.3
Now we can solve these equations:
Equation 1:
2.7 + 2y = 5.3
Rearranging the terms:
2y = 5.3 - 2.7
2y = 2.6
Divide both sides by 2:
y = 2.6 / 2
y = 1.3
Now that we have the value of y, we can substitute it back into equation 2 to find x:
x - 1.3 = 1.7
Add 1.3 to both sides:
x = 1.7 + 1.3
x = 3
So, the two numbers are x = 3 and y = 1.3.